Greatest Common Factor of 6118/22, 6902/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6118/22, 6902/862

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 6118/22,6902/862

Given fractions are 6118/22,6902/862

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 6118,6902

Greatest Common Factor of Numerators i.e. GCF of 6118,6902 is 14 .

LCM of Denominators means LCM of 22,862 as per the given fractions.

LCM of 22,862 is 9482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6118,6902

GCF of Fractions 6118/22,6902/862 is 14/9482

2 6118, 6902
7 3059, 3451
437, 493

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 6118,6902 By Matching Biggest Common Factor Method

Greatest Common Factor of 6118,6902 By Matching Biggest Common Factor Method

Factors of 6118

List of positive integer factors of 6118 that divides 6118 without a remainder.

1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

Greatest Common Factor

We found the factors 6118,6902 . The biggest common factor number is the GCF number.
So the greatest common factor 6118,6902 is 14.

Lets's calculate LCM of 22,862

2 22, 862
11, 431

∴ So the LCM of the given numbers is 2 x 11 x 431 = 9482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/9482

Therefore, the GCF of Fractions 6118/22,6902/862 is 14/9482

Least Common Multiple of 22,862 with GCF Formula

Least Common Multiple of 22,862 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 22,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,862) = 2

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

GCF(22,862) x common factors =2 x 1 = 2

LCM(22,862) = ( 22 × 862 ) / 2

LCM(22,862) = 18964 / 2

LCM(22,862) = 9482


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 6118/22, 6902/862

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 6118/22, 6902/862?

Answer: GCF of Numerators as per given numbers 6118/22, 6902/862 is

GCF of Numerators i.e. for 6118,6902 is 14

LCM of denominators i.e. for 22,862 is 9482.

Thus, GCF of Fractions is 14/9482.Finally, GCF of Fractions for 6118/22, 6902/862 is 14/9482.