Greatest Common Factor of 5074/53, 9626/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5074/53, 9626/637

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 5074/53,9626/637

Given fractions are 5074/53,9626/637

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 5074,9626

Greatest Common Factor of Numerators i.e. GCF of 5074,9626 is 2 .

LCM of Denominators means LCM of 53,637 as per the given fractions.

LCM of 53,637 is 33761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5074,9626

GCF of Fractions 5074/53,9626/637 is 2/33761

2 5074, 9626
2537, 4813

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

Greatest Common Factor of 5074,9626 By Matching Biggest Common Factor Method

Greatest Common Factor of 5074,9626 By Matching Biggest Common Factor Method

Factors of 5074

List of positive integer factors of 5074 that divides 5074 without a remainder.

1,2,43,59,86,118,2537,5074

Factors of 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1,2,4813,9626

Greatest Common Factor

We found the factors 5074,9626 . The biggest common factor number is the GCF number.
So the greatest common factor 5074,9626 is 2.

Lets's calculate LCM of 53,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 33761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33761

Therefore, the GCF of Fractions 5074/53,9626/637 is 2/33761

Least Common Multiple of 53,637 with GCF Formula

Least Common Multiple of 53,637 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 53,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,637) = 1

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

GCF(53,637) x common factors =1 x 1 = 1

LCM(53,637) = ( 53 × 637 ) / 1

LCM(53,637) = 33761 / 1

LCM(53,637) = 33761


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 5074/53, 9626/637

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 5074/53, 9626/637?

Answer: GCF of Numerators as per given numbers 5074/53, 9626/637 is

GCF of Numerators i.e. for 5074,9626 is 2

LCM of denominators i.e. for 53,637 is 33761.

Thus, GCF of Fractions is 2/33761.Finally, GCF of Fractions for 5074/53, 9626/637 is 2/33761.