GCF (HCF) of 77 and 56
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What is the Greatest Common Divisor of 77 and 56?
Answer
GCF (HCF) of 77 and 56 is
7
Common factors: 1, 7
7 divides both: 77 ÷ 7 = 11, 56 ÷ 7 = 8 — and 11 and 8 share no factor but 1, so no larger number divides both.
77 = 7 × 11
56 = 23 × 7
| Prime | 77 | 56 | Lowest power |
|---|---|---|---|
| 2 | — | 23 | — |
| 7 | 7 | 7 | 7 |
| 11 | 11 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 7
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See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 77 | 41 | 1 |
| 77 | 42 | 7 |
| 77 | 43 | 1 |
| 77 | 44 | 11 |
| 77 | 45 | 1 |
| 77 | 46 | 1 |
| 77 | 47 | 1 |
| 77 | 48 | 1 |
| 77 | 49 | 7 |
| 77 | 50 | 1 |
| 77 | 51 | 1 |
| 77 | 52 | 1 |
| 77 | 53 | 1 |
| 77 | 54 | 1 |
| 77 | 55 | 11 |
| 77 | 56 | 7 |
| 77 | 57 | 1 |
| 77 | 58 | 1 |
| 77 | 59 | 1 |
| 77 | 60 | 1 |
| 77 | 61 | 1 |
| 77 | 62 | 1 |
| 77 | 63 | 7 |
| 77 | 64 | 1 |
| 77 | 65 | 1 |
| 77 | 66 | 11 |
| 77 | 67 | 1 |
| 77 | 68 | 1 |
| 77 | 69 | 1 |
| 77 | 70 | 7 |
FAQ
What is the Greatest Common Divisor of 77 and 56?
GCF (HCF) of 77 and 56 is 7
How to find the GCF of 77 and 56?
You can find the GCF of 77 and 56 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 77 and 56 is 7.
What prime factors do 77 and 56 share?
The prime factorizations of 77 and 56 have 7 in common, and multiplying those shared primes gives 7 — exactly the greatest common factor.
How does the GCF reduce the fraction 77/56?
Divide the numerator and the denominator by the GCF 7: 77 ÷ 7 = 11 and 56 ÷ 7 = 8. So 77/56 in lowest terms is 11/8.
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