Greatest Common Factor of 7712/862, 8894/7562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7712/862, 8894/7562

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7712/862,8894/7562

Given fractions are 7712/862,8894/7562

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7712,8894

Greatest Common Factor of Numerators i.e. GCF of 7712,8894 is 2 .

LCM of Denominators means LCM of 862,7562 as per the given fractions.

LCM of 862,7562 is 3259222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7712,8894

GCF of Fractions 7712/862,8894/7562 is 2/3259222

2 7712, 8894
3856, 4447

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7712,8894 By Matching Biggest Common Factor Method

Greatest Common Factor of 7712,8894 By Matching Biggest Common Factor Method

Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1,2,4,8,16,32,241,482,964,1928,3856,7712

Factors of 8894

List of positive integer factors of 8894 that divides 8894 without a remainder.

1,2,4447,8894

Greatest Common Factor

We found the factors 7712,8894 . The biggest common factor number is the GCF number.
So the greatest common factor 7712,8894 is 2.

Lets's calculate LCM of 862,7562

2 862, 7562
431, 3781

∴ So the LCM of the given numbers is 2 x 431 x 3781 = 3259222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3259222

Therefore, the GCF of Fractions 7712/862,8894/7562 is 2/3259222

Least Common Multiple of 862,7562 with GCF Formula

Least Common Multiple of 862,7562 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 862,7562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,7562) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(862,7562) x common factors =2 x 1 = 2

LCM(862,7562) = ( 862 × 7562 ) / 2

LCM(862,7562) = 6518444 / 2

LCM(862,7562) = 3259222


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7712/862, 8894/7562

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7712/862, 8894/7562?

Answer: GCF of Numerators as per given numbers 7712/862, 8894/7562 is

GCF of Numerators i.e. for 7712,8894 is 2

LCM of denominators i.e. for 862,7562 is 3259222.

Thus, GCF of Fractions is 2/3259222.Finally, GCF of Fractions for 7712/862, 8894/7562 is 2/3259222.