Greatest Common Factor of 6251/369, 5698/4478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6251/369, 5698/4478

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 6251/369,5698/4478

Given fractions are 6251/369,5698/4478

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 6251,5698

Greatest Common Factor of Numerators i.e. GCF of 6251,5698 is 7 .

LCM of Denominators means LCM of 369,4478 as per the given fractions.

LCM of 369,4478 is 1652382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6251,5698

GCF of Fractions 6251/369,5698/4478 is 7/1652382

7 6251, 5698
893, 814

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6251,5698 By Matching Biggest Common Factor Method

Greatest Common Factor of 6251,5698 By Matching Biggest Common Factor Method

Factors of 6251

List of positive integer factors of 6251 that divides 6251 without a remainder.

1,7,19,47,133,329,893,6251

Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698

Greatest Common Factor

We found the factors 6251,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 6251,5698 is 7.

Lets's calculate LCM of 369,4478

Given numbers has no common factors except 1. So, there LCM is their product i.e 1652382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1652382

Therefore, the GCF of Fractions 6251/369,5698/4478 is 7/1652382

Least Common Multiple of 369,4478 with GCF Formula

Least Common Multiple of 369,4478 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 369,4478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,4478) = 1

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

GCF(369,4478) x common factors =1 x 1 = 1

LCM(369,4478) = ( 369 × 4478 ) / 1

LCM(369,4478) = 1652382 / 1

LCM(369,4478) = 1652382


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 6251/369, 5698/4478

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 6251/369, 5698/4478?

Answer: GCF of Numerators as per given numbers 6251/369, 5698/4478 is

GCF of Numerators i.e. for 6251,5698 is 7

LCM of denominators i.e. for 369,4478 is 1652382.

Thus, GCF of Fractions is 7/1652382.Finally, GCF of Fractions for 6251/369, 5698/4478 is 7/1652382.