Greatest Common Factor of 2271/474, 3137/7598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2271/474, 3137/7598

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 2271/474,3137/7598

Given fractions are 2271/474,3137/7598

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 2271,3137

Greatest Common Factor of Numerators i.e. GCF of 2271,3137 is 1 .

LCM of Denominators means LCM of 474,7598 as per the given fractions.

LCM of 474,7598 is 1800726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2271,3137

GCF of Fractions 2271/474,3137/7598 is 1/1800726

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

Greatest Common Factor of 2271,3137 By Matching Biggest Common Factor Method

Greatest Common Factor of 2271,3137 By Matching Biggest Common Factor Method

Factors of 2271

List of positive integer factors of 2271 that divides 2271 without a remainder.

1,3,757,2271

Factors of 3137

List of positive integer factors of 3137 that divides 3137 without a remainder.

1,3137

Greatest Common Factor

We found the factors 2271,3137 . The biggest common factor number is the GCF number.
So the greatest common factor 2271,3137 is 1.

Lets's calculate LCM of 474,7598

2 474, 7598
237, 3799

∴ So the LCM of the given numbers is 2 x 237 x 3799 = 1800726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1800726

Therefore, the GCF of Fractions 2271/474,3137/7598 is 1/1800726

Least Common Multiple of 474,7598 with GCF Formula

Least Common Multiple of 474,7598 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 474,7598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,7598) = 2

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

GCF(474,7598) x common factors =2 x 1 = 2

LCM(474,7598) = ( 474 × 7598 ) / 2

LCM(474,7598) = 3601452 / 2

LCM(474,7598) = 1800726


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 2271/474, 3137/7598

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 2271/474, 3137/7598?

Answer: GCF of Numerators as per given numbers 2271/474, 3137/7598 is

GCF of Numerators i.e. for 2271,3137 is 1

LCM of denominators i.e. for 474,7598 is 1800726.

Thus, GCF of Fractions is 1/1800726.Finally, GCF of Fractions for 2271/474, 3137/7598 is 1/1800726.