Greatest Common Factor of 7987/56, 7994/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7987/56, 7994/756

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 7987/56,7994/756

Given fractions are 7987/56,7994/756

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 7987,7994

Greatest Common Factor of Numerators i.e. GCF of 7987,7994 is 7 .

LCM of Denominators means LCM of 56,756 as per the given fractions.

LCM of 56,756 is 1512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7987,7994

GCF of Fractions 7987/56,7994/756 is 7/1512

7 7987, 7994
1141, 1142

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7987,7994 By Matching Biggest Common Factor Method

Greatest Common Factor of 7987,7994 By Matching Biggest Common Factor Method

Factors of 7987

List of positive integer factors of 7987 that divides 7987 without a remainder.

1,7,49,163,1141,7987

Factors of 7994

List of positive integer factors of 7994 that divides 7994 without a remainder.

1,2,7,14,571,1142,3997,7994

Greatest Common Factor

We found the factors 7987,7994 . The biggest common factor number is the GCF number.
So the greatest common factor 7987,7994 is 7.

Lets's calculate LCM of 56,756

2 56, 756
2 28, 378
7 14, 189
2, 27

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 27 = 1512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1512

Therefore, the GCF of Fractions 7987/56,7994/756 is 7/1512

Least Common Multiple of 56,756 with GCF Formula

Least Common Multiple of 56,756 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 56,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,756) = 28

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

GCF(56,756) x common factors =28 x 1 = 28

LCM(56,756) = ( 56 × 756 ) / 28

LCM(56,756) = 42336 / 28

LCM(56,756) = 1512


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 7987/56, 7994/756

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 7987/56, 7994/756?

Answer: GCF of Numerators as per given numbers 7987/56, 7994/756 is

GCF of Numerators i.e. for 7987,7994 is 7

LCM of denominators i.e. for 56,756 is 1512.

Thus, GCF of Fractions is 7/1512.Finally, GCF of Fractions for 7987/56, 7994/756 is 7/1512.