Greatest Common Factor of 7612/546, 8438/7852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7612/546, 8438/7852

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 7612/546,8438/7852

Given fractions are 7612/546,8438/7852

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 7612,8438

Greatest Common Factor of Numerators i.e. GCF of 7612,8438 is 2 .

LCM of Denominators means LCM of 546,7852 as per the given fractions.

LCM of 546,7852 is 164892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7612,8438

GCF of Fractions 7612/546,8438/7852 is 2/164892

2 7612, 8438
3806, 4219

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

Greatest Common Factor of 7612,8438 By Matching Biggest Common Factor Method

Greatest Common Factor of 7612,8438 By Matching Biggest Common Factor Method

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1,2,4,11,22,44,173,346,692,1903,3806,7612

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1,2,4219,8438

Greatest Common Factor

We found the factors 7612,8438 . The biggest common factor number is the GCF number.
So the greatest common factor 7612,8438 is 2.

Lets's calculate LCM of 546,7852

2 546, 7852
13 273, 3926
21, 302

∴ So the LCM of the given numbers is 2 x 13 x 21 x 302 = 164892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164892

Therefore, the GCF of Fractions 7612/546,8438/7852 is 2/164892

Least Common Multiple of 546,7852 with GCF Formula

Least Common Multiple of 546,7852 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 546,7852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,7852) = 26

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

GCF(546,7852) x common factors =26 x 1 = 26

LCM(546,7852) = ( 546 × 7852 ) / 26

LCM(546,7852) = 4287192 / 26

LCM(546,7852) = 164892


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 7612/546, 8438/7852

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 7612/546, 8438/7852?

Answer: GCF of Numerators as per given numbers 7612/546, 8438/7852 is

GCF of Numerators i.e. for 7612,8438 is 2

LCM of denominators i.e. for 546,7852 is 164892.

Thus, GCF of Fractions is 2/164892.Finally, GCF of Fractions for 7612/546, 8438/7852 is 2/164892.