What is the Greatest Common Factor?
The Greatest Common Factor (GCF) of two or more numbers is the largest number that can divide into each of them evenly.
Example:
The Greatest Common Factor of 20 and 32 is 8.
How to Calculate the Greatest Common Factor
The GCF of two numbers can be determined by listing the prime factors of each number and finding the largest number that exists in both lists. This is known as the prime factorization method.
For example, the prime factorization of 20 is 2 x 2 x 5 and the prime factorization of 32 is 2 x 2 x 2 x 2 x 2. The largest number that appears in both lists is 2, so the Greatest Common Factor of 20 and 32 is 8.
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Questions and Answers:
1. 1. What is the greatest common factor of 351 and 36?2. What is the greatest common factor of 152 and 24?
Jawab:
9
Penjelasan dengan langkah-langkah:
Faktor dari 351:
351 = 1 × 351
351 = 3 × 117
351 = 9 × 39
351 = 13 × 27
Faktor dari 351 = {1, 3, 9, 13, 27, 39, 117, 351}
faktor dari 36 :
1 x 36 = 36
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36
6 x 6 = 36
faktor dari 36 adalah 1, 2, 3, 4, 6, 9, 12, 18
faktor perseketuannya : 1,3,9
faktor terbesarnya : 9
semoga membantu
2. find the greatest common factor of 24 and 48
Jawaban:
24
Penjelasan dengan langkah-langkah:
Jadi kalau dari situ, GCF itu mengambil faktor yang sama, tapi diambil pangkat yang kecil, berbanding terbalik dengan LCM
3. What is the greatest common factor of 261 and 45?
Mapel:MatematikaBab:KelipatandanFaktor
45 261
/ \ / \
3 15 3 87
/ \ / \
3 5 3 29
45 = 3² × 5
261 = 3² × 29
FPB = 3²
FPB = 3 × 3
FPB = 9
Jawab:9
Penjelasan dengan langkah-langkah:261 = 3 x 3 x 29
45 = 3 x 3 x 5
= 3 x 3
= 9
[tex]Naochan2409[/tex]
4. Find the greatest common factor for each pair of numbers.1. 28 and 362. 54 and 363. 42 and 24Help pls
Jawaban:
1. 7 and 9
2. 3 and 2
3. 21 and 12
Find the greatest common factor for each pair of numbers.
1. 28 and 36
2. 54 and 36
3. 42 and 24
answer :
1. 7 and 9.
2. 9 and 6.
3. 7 and 6.
penjelasan:
syarat-syarat "greattest common factor" yaitu:
- kalian harus dibagi dulu di jawab.
- kalian harus dikali dulu supaya pembagian itu tidak salah.
- kalian boleh memakai pohon faktorisasi atau pembagian.
contoh :
4 dan 2
4 dan 2 harus sama-sama dibagi 2.
jadi hasilnya 2 dan 1.
note:
Apakah kalian sudah ngerti?
kalau kalian sudah ngerti kalian harus belajar lagi ya
selamat berlatih.
thank you.
bye bye.
5. what is the sumof the greatest common divisior of 20 and 36 and the least common multiple of 10 and 12
the greatest common divusir of 20 and 36 is 4
the least common multiple of 10 and 12 is 60
6. what are the common factors of 15 and 20
15: 1,3,5,15 20: 1,2,4,5,10,2015:1,3,5,15 20:1,2,4,10,20
7. What is the greatest common factor of 152 and 24?
Jawaban:
the greatest common factor of 152 and 24 is 8
Penjelasan dengan langkah-langkah:
factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
so the greatest common factor of 152 and 24 is 8
8. the highest common factor of 210 and 315 is
210= 2x3x5x7
315 = 3²x5x7
The highest common factor of 210 and 315 is 3×5×7 = 105
Answer :210 = 2 x 3 x 5 x 7
315 = 3² x 5 x 7
FPB = 3 x 5 x 7
FPB = 105
9. what is the difference between the smallest factor and greatest factor of 108
greatest factor = 108
smallest factor = 1
108-1=107
maaf kalau salah
10. Find The Highest Common Factor of 12 and 18
Jawaban:
jadi jawaban nya adalah 6
11. Highest common factor and lowest common multiple of 50 and 70
Jawaban:
Answer: LCM of 50 and 70 is 350
12. I. Draw the factor trees for each numbers. Find the prime factors for each number. Find the greatest common factor of each set of number. 1) 10, 30 2) 12, 15 and 24 3) 48, 60 and 72 II. Draw the factor trees for each numbers. Find the prime factors for each number. Find the lowest common multiple of each set of number. 4) 18, 26 5) 6, 16 and 34 mohon bantuanya
Jawab:
Penjelasan dengan langkah-langkah:
13. what is the common factor of 50 and 20
Jawaban:
bahasaIndonesia:
"Apafaktorpersekutuandari50dan20"
Jawaban:
[tex] [/tex]
50=2*5^2
20=2^2*5
Penjelasan:
Kelas:V
Matapelajaran:Matematika
Stopcopypaste!!
Mogamembantu:)14. what common factor relates the work of the nurse and the framworker? plis jawabbb
Jawaban:
doctor is a job related to nurses
and coolies are jobs related to frame workers
15. Find the lowest common multiple of 25, 27, and 32
Jawab:
20.640
Penjelasan dengan langkah-langkah:
25: 5²
27: 3³
32: 2^5
2^5 × 3³ × 5²
20.640
Sorry if it false
16. highest common factor of the following 30:50:45:
Jawaban:
Hence common factors are {1,5} and greatest common factor is 5
17. Find all common factor of 20 and 30
Jawab:
Temukan semua faktor persekutuan dari 20 dan 30
Penjelasan:
Maaf klo salah
18. what is the common factor of 8y,12y
Jawab:
7y
Penjelasan dengan langkah-langkah:
jawaban:
Faktor dari 8y dan 12y adalah 4y karena 8y=2x4y dan 12y=3x4y
19. 2. find the greatest common factor (gcf) of the following numbers using the listing method or prime factorization. (show your solution) a. 108 and 24 b. 28, 63 and 91
Jawab:
a. 12
b. 7
Penjelasan dengan langkah-langkah:
a.
[tex]108=2^2\times3^3\\24=2^3\times3\\gcf=2^2\times 3=12[/tex] (lihat faktor prima yang ada di keduanya, kemudian pilih yang pangkatnya paling kecil)
b.
[tex]28=2^2\times7\\63=3^2\times 7\\91= 7\times 13\\gcf=7[/tex](lihat faktor prima yang ada di ketiganya, kemudian pilih yang pangkatnya paling kecil)
20. the greates common factor of 48 and 72 is
Answer:
24
Step-by-step explanation:
Factors of 72: 1, 2, 3, 4, 6, 8, 12, 24, 9, 18, 36, 72
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 24, 16, 48 Therefore, the greatest common factor of 48 and 72 is 24.
Hope it helps :D
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