Greatest Common Factor of 7213/51, 2371/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7213/51, 2371/612

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 7213/51,2371/612

Given fractions are 7213/51,2371/612

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 7213,2371

Greatest Common Factor of Numerators i.e. GCF of 7213,2371 is 1 .

LCM of Denominators means LCM of 51,612 as per the given fractions.

LCM of 51,612 is 612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7213,2371

GCF of Fractions 7213/51,2371/612 is 1/612

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

Greatest Common Factor of 7213,2371 By Matching Biggest Common Factor Method

Greatest Common Factor of 7213,2371 By Matching Biggest Common Factor Method

Factors of 7213

List of positive integer factors of 7213 that divides 7213 without a remainder.

1,7213

Factors of 2371

List of positive integer factors of 2371 that divides 2371 without a remainder.

1,2371

Greatest Common Factor

We found the factors 7213,2371 . The biggest common factor number is the GCF number.
So the greatest common factor 7213,2371 is 1.

Lets's calculate LCM of 51,612

3 51, 612
17 17, 204
1, 12

∴ So the LCM of the given numbers is 3 x 17 x 1 x 12 = 612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/612

Therefore, the GCF of Fractions 7213/51,2371/612 is 1/612

Least Common Multiple of 51,612 with GCF Formula

Least Common Multiple of 51,612 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 51,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,612) = 51

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

GCF(51,612) x common factors =51 x 1 = 51

LCM(51,612) = ( 51 × 612 ) / 51

LCM(51,612) = 31212 / 51

LCM(51,612) = 612


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 7213/51, 2371/612

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 7213/51, 2371/612?

Answer: GCF of Numerators as per given numbers 7213/51, 2371/612 is

GCF of Numerators i.e. for 7213,2371 is 1

LCM of denominators i.e. for 51,612 is 612.

Thus, GCF of Fractions is 1/612.Finally, GCF of Fractions for 7213/51, 2371/612 is 1/612.