Greatest Common Factor of 7475/88, 6868/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7475/88, 6868/156

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 7475/88,6868/156

Given fractions are 7475/88,6868/156

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 7475,6868

Greatest Common Factor of Numerators i.e. GCF of 7475,6868 is 1 .

LCM of Denominators means LCM of 88,156 as per the given fractions.

LCM of 88,156 is 3432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7475,6868

GCF of Fractions 7475/88,6868/156 is 1/3432

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7475,6868 By Matching Biggest Common Factor Method

Greatest Common Factor of 7475,6868 By Matching Biggest Common Factor Method

Factors of 7475

List of positive integer factors of 7475 that divides 7475 without a remainder.

1,5,13,23,25,65,115,299,325,575,1495,7475

Factors of 6868

List of positive integer factors of 6868 that divides 6868 without a remainder.

1,2,4,17,34,68,101,202,404,1717,3434,6868

Greatest Common Factor

We found the factors 7475,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 7475,6868 is 1.

Lets's calculate LCM of 88,156

2 88, 156
2 44, 78
22, 39

∴ So the LCM of the given numbers is 2 x 2 x 22 x 39 = 3432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3432

Therefore, the GCF of Fractions 7475/88,6868/156 is 1/3432

Least Common Multiple of 88,156 with GCF Formula

Least Common Multiple of 88,156 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 88,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,156) = 4

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

GCF(88,156) x common factors =4 x 1 = 4

LCM(88,156) = ( 88 × 156 ) / 4

LCM(88,156) = 13728 / 4

LCM(88,156) = 3432


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 7475/88, 6868/156

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 7475/88, 6868/156?

Answer: GCF of Numerators as per given numbers 7475/88, 6868/156 is

GCF of Numerators i.e. for 7475,6868 is 1

LCM of denominators i.e. for 88,156 is 3432.

Thus, GCF of Fractions is 1/3432.Finally, GCF of Fractions for 7475/88, 6868/156 is 1/3432.