Greatest Common Factor of 6172/98, 2704/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6172/98, 2704/822

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 6172/98,2704/822

Given fractions are 6172/98,2704/822

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 6172,2704

Greatest Common Factor of Numerators i.e. GCF of 6172,2704 is 4 .

LCM of Denominators means LCM of 98,822 as per the given fractions.

LCM of 98,822 is 40278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6172,2704

GCF of Fractions 6172/98,2704/822 is 4/40278

2 6172, 2704
2 3086, 1352
1543, 676

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6172,2704 By Matching Biggest Common Factor Method

Greatest Common Factor of 6172,2704 By Matching Biggest Common Factor Method

Factors of 6172

List of positive integer factors of 6172 that divides 6172 without a remainder.

1,2,4,1543,3086,6172

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Greatest Common Factor

We found the factors 6172,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 6172,2704 is 4.

Lets's calculate LCM of 98,822

2 98, 822
49, 411

∴ So the LCM of the given numbers is 2 x 49 x 411 = 40278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40278

Therefore, the GCF of Fractions 6172/98,2704/822 is 4/40278

Least Common Multiple of 98,822 with GCF Formula

Least Common Multiple of 98,822 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 98,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,822) = 2

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

GCF(98,822) x common factors =2 x 1 = 2

LCM(98,822) = ( 98 × 822 ) / 2

LCM(98,822) = 80556 / 2

LCM(98,822) = 40278


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 6172/98, 2704/822

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 6172/98, 2704/822?

Answer: GCF of Numerators as per given numbers 6172/98, 2704/822 is

GCF of Numerators i.e. for 6172,2704 is 4

LCM of denominators i.e. for 98,822 is 40278.

Thus, GCF of Fractions is 4/40278.Finally, GCF of Fractions for 6172/98, 2704/822 is 4/40278.