Greatest Common Factor of 7028/77, 6758/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7028/77, 6758/875

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 7028/77,6758/875

Given fractions are 7028/77,6758/875

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 7028,6758

Greatest Common Factor of Numerators i.e. GCF of 7028,6758 is 2 .

LCM of Denominators means LCM of 77,875 as per the given fractions.

LCM of 77,875 is 9625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7028,6758

GCF of Fractions 7028/77,6758/875 is 2/9625

2 7028, 6758
3514, 3379

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

Greatest Common Factor of 7028,6758 By Matching Biggest Common Factor Method

Greatest Common Factor of 7028,6758 By Matching Biggest Common Factor Method

Factors of 7028

List of positive integer factors of 7028 that divides 7028 without a remainder.

1,2,4,7,14,28,251,502,1004,1757,3514,7028

Factors of 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1,2,31,62,109,218,3379,6758

Greatest Common Factor

We found the factors 7028,6758 . The biggest common factor number is the GCF number.
So the greatest common factor 7028,6758 is 2.

Lets's calculate LCM of 77,875

7 77, 875
11, 125

∴ So the LCM of the given numbers is 7 x 11 x 125 = 9625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9625

Therefore, the GCF of Fractions 7028/77,6758/875 is 2/9625

Least Common Multiple of 77,875 with GCF Formula

Least Common Multiple of 77,875 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 77,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,875) = 7

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

GCF(77,875) x common factors =7 x 1 = 7

LCM(77,875) = ( 77 × 875 ) / 7

LCM(77,875) = 67375 / 7

LCM(77,875) = 9625


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 7028/77, 6758/875

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 7028/77, 6758/875?

Answer: GCF of Numerators as per given numbers 7028/77, 6758/875 is

GCF of Numerators i.e. for 7028,6758 is 2

LCM of denominators i.e. for 77,875 is 9625.

Thus, GCF of Fractions is 2/9625.Finally, GCF of Fractions for 7028/77, 6758/875 is 2/9625.