Greatest Common Factor of 7695/424, 5353/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7695/424, 5353/126

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 7695/424,5353/126

Given fractions are 7695/424,5353/126

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 7695,5353

Greatest Common Factor of Numerators i.e. GCF of 7695,5353 is 1 .

LCM of Denominators means LCM of 424,126 as per the given fractions.

LCM of 424,126 is 26712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7695,5353

GCF of Fractions 7695/424,5353/126 is 1/26712

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

Greatest Common Factor of 7695,5353 By Matching Biggest Common Factor Method

Greatest Common Factor of 7695,5353 By Matching Biggest Common Factor Method

Factors of 7695

List of positive integer factors of 7695 that divides 7695 without a remainder.

1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695

Factors of 5353

List of positive integer factors of 5353 that divides 5353 without a remainder.

1,53,101,5353

Greatest Common Factor

We found the factors 7695,5353 . The biggest common factor number is the GCF number.
So the greatest common factor 7695,5353 is 1.

Lets's calculate LCM of 424,126

2 424, 126
212, 63

∴ So the LCM of the given numbers is 2 x 212 x 63 = 26712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26712

Therefore, the GCF of Fractions 7695/424,5353/126 is 1/26712

Least Common Multiple of 424,126 with GCF Formula

Least Common Multiple of 424,126 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 424,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,126) = 2

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

GCF(424,126) x common factors =2 x 1 = 2

LCM(424,126) = ( 424 × 126 ) / 2

LCM(424,126) = 53424 / 2

LCM(424,126) = 26712


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 7695/424, 5353/126

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 7695/424, 5353/126?

Answer: GCF of Numerators as per given numbers 7695/424, 5353/126 is

GCF of Numerators i.e. for 7695,5353 is 1

LCM of denominators i.e. for 424,126 is 26712.

Thus, GCF of Fractions is 1/26712.Finally, GCF of Fractions for 7695/424, 5353/126 is 1/26712.