Greatest Common Factor of 9622/276, 6486/6210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9622/276, 6486/6210

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 9622/276,6486/6210

Given fractions are 9622/276,6486/6210

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 9622,6486

Greatest Common Factor of Numerators i.e. GCF of 9622,6486 is 2 .

LCM of Denominators means LCM of 276,6210 as per the given fractions.

LCM of 276,6210 is 12420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9622,6486

GCF of Fractions 9622/276,6486/6210 is 2/12420

2 9622, 6486
4811, 3243

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

Greatest Common Factor of 9622,6486 By Matching Biggest Common Factor Method

Greatest Common Factor of 9622,6486 By Matching Biggest Common Factor Method

Factors of 9622

List of positive integer factors of 9622 that divides 9622 without a remainder.

1,2,17,34,283,566,4811,9622

Factors of 6486

List of positive integer factors of 6486 that divides 6486 without a remainder.

1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486

Greatest Common Factor

We found the factors 9622,6486 . The biggest common factor number is the GCF number.
So the greatest common factor 9622,6486 is 2.

Lets's calculate LCM of 276,6210

2 276, 6210
3 138, 3105
23 46, 1035
2, 45

∴ So the LCM of the given numbers is 2 x 3 x 23 x 2 x 45 = 12420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12420

Therefore, the GCF of Fractions 9622/276,6486/6210 is 2/12420

Least Common Multiple of 276,6210 with GCF Formula

Least Common Multiple of 276,6210 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 276,6210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,6210) = 138

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

GCF(276,6210) x common factors =138 x 1 = 138

LCM(276,6210) = ( 276 × 6210 ) / 138

LCM(276,6210) = 1713960 / 138

LCM(276,6210) = 12420


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 9622/276, 6486/6210

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 9622/276, 6486/6210?

Answer: GCF of Numerators as per given numbers 9622/276, 6486/6210 is

GCF of Numerators i.e. for 9622,6486 is 2

LCM of denominators i.e. for 276,6210 is 12420.

Thus, GCF of Fractions is 2/12420.Finally, GCF of Fractions for 9622/276, 6486/6210 is 2/12420.