Greatest Common Factor of 7265/31, 4358/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7265/31, 4358/972

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 7265/31,4358/972

Given fractions are 7265/31,4358/972

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 7265,4358

Greatest Common Factor of Numerators i.e. GCF of 7265,4358 is 1 .

LCM of Denominators means LCM of 31,972 as per the given fractions.

LCM of 31,972 is 30132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7265,4358

GCF of Fractions 7265/31,4358/972 is 1/30132

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

Greatest Common Factor of 7265,4358 By Matching Biggest Common Factor Method

Greatest Common Factor of 7265,4358 By Matching Biggest Common Factor Method

Factors of 7265

List of positive integer factors of 7265 that divides 7265 without a remainder.

1,5,1453,7265

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1,2,2179,4358

Greatest Common Factor

We found the factors 7265,4358 . The biggest common factor number is the GCF number.
So the greatest common factor 7265,4358 is 1.

Lets's calculate LCM of 31,972

Given numbers has no common factors except 1. So, there LCM is their product i.e 30132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30132

Therefore, the GCF of Fractions 7265/31,4358/972 is 1/30132

Least Common Multiple of 31,972 with GCF Formula

Least Common Multiple of 31,972 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 31,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,972) = 1

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

GCF(31,972) x common factors =1 x 1 = 1

LCM(31,972) = ( 31 × 972 ) / 1

LCM(31,972) = 30132 / 1

LCM(31,972) = 30132


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 7265/31, 4358/972

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 7265/31, 4358/972?

Answer: GCF of Numerators as per given numbers 7265/31, 4358/972 is

GCF of Numerators i.e. for 7265,4358 is 1

LCM of denominators i.e. for 31,972 is 30132.

Thus, GCF of Fractions is 1/30132.Finally, GCF of Fractions for 7265/31, 4358/972 is 1/30132.