Greatest Common Factor of 7241/57, 9512/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7241/57, 9512/322

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 7241/57,9512/322

Given fractions are 7241/57,9512/322

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 7241,9512

Greatest Common Factor of Numerators i.e. GCF of 7241,9512 is 1 .

LCM of Denominators means LCM of 57,322 as per the given fractions.

LCM of 57,322 is 18354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7241,9512

GCF of Fractions 7241/57,9512/322 is 1/18354

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

Greatest Common Factor of 7241,9512 By Matching Biggest Common Factor Method

Greatest Common Factor of 7241,9512 By Matching Biggest Common Factor Method

Factors of 7241

List of positive integer factors of 7241 that divides 7241 without a remainder.

1,13,557,7241

Factors of 9512

List of positive integer factors of 9512 that divides 9512 without a remainder.

1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512

Greatest Common Factor

We found the factors 7241,9512 . The biggest common factor number is the GCF number.
So the greatest common factor 7241,9512 is 1.

Lets's calculate LCM of 57,322

Given numbers has no common factors except 1. So, there LCM is their product i.e 18354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18354

Therefore, the GCF of Fractions 7241/57,9512/322 is 1/18354

Least Common Multiple of 57,322 with GCF Formula

Least Common Multiple of 57,322 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 57,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,322) = 1

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

GCF(57,322) x common factors =1 x 1 = 1

LCM(57,322) = ( 57 × 322 ) / 1

LCM(57,322) = 18354 / 1

LCM(57,322) = 18354


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 7241/57, 9512/322

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 7241/57, 9512/322?

Answer: GCF of Numerators as per given numbers 7241/57, 9512/322 is

GCF of Numerators i.e. for 7241,9512 is 1

LCM of denominators i.e. for 57,322 is 18354.

Thus, GCF of Fractions is 1/18354.Finally, GCF of Fractions for 7241/57, 9512/322 is 1/18354.