Greatest Common Factor of 2522/84, 9821/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2522/84, 9821/634

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 2522/84,9821/634

Given fractions are 2522/84,9821/634

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 2522,9821

Greatest Common Factor of Numerators i.e. GCF of 2522,9821 is 1 .

LCM of Denominators means LCM of 84,634 as per the given fractions.

LCM of 84,634 is 26628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2522,9821

GCF of Fractions 2522/84,9821/634 is 1/26628

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2522,9821 By Matching Biggest Common Factor Method

Greatest Common Factor of 2522,9821 By Matching Biggest Common Factor Method

Factors of 2522

List of positive integer factors of 2522 that divides 2522 without a remainder.

1,2,13,26,97,194,1261,2522

Factors of 9821

List of positive integer factors of 9821 that divides 9821 without a remainder.

1,7,23,61,161,427,1403,9821

Greatest Common Factor

We found the factors 2522,9821 . The biggest common factor number is the GCF number.
So the greatest common factor 2522,9821 is 1.

Lets's calculate LCM of 84,634

2 84, 634
42, 317

∴ So the LCM of the given numbers is 2 x 42 x 317 = 26628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26628

Therefore, the GCF of Fractions 2522/84,9821/634 is 1/26628

Least Common Multiple of 84,634 with GCF Formula

Least Common Multiple of 84,634 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 84,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,634) = 2

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

GCF(84,634) x common factors =2 x 1 = 2

LCM(84,634) = ( 84 × 634 ) / 2

LCM(84,634) = 53256 / 2

LCM(84,634) = 26628


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 2522/84, 9821/634

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 2522/84, 9821/634?

Answer: GCF of Numerators as per given numbers 2522/84, 9821/634 is

GCF of Numerators i.e. for 2522,9821 is 1

LCM of denominators i.e. for 84,634 is 26628.

Thus, GCF of Fractions is 1/26628.Finally, GCF of Fractions for 2522/84, 9821/634 is 1/26628.