Greatest Common Factor of 7331/521, 1560/9183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7331/521, 1560/9183

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 7331/521,1560/9183

Given fractions are 7331/521,1560/9183

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 7331,1560

Greatest Common Factor of Numerators i.e. GCF of 7331,1560 is 1 .

LCM of Denominators means LCM of 521,9183 as per the given fractions.

LCM of 521,9183 is 4784343 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7331,1560

GCF of Fractions 7331/521,1560/9183 is 1/4784343

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

Greatest Common Factor of 7331,1560 By Matching Biggest Common Factor Method

Greatest Common Factor of 7331,1560 By Matching Biggest Common Factor Method

Factors of 7331

List of positive integer factors of 7331 that divides 7331 without a remainder.

1,7331

Factors of 1560

List of positive integer factors of 1560 that divides 1560 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560

Greatest Common Factor

We found the factors 7331,1560 . The biggest common factor number is the GCF number.
So the greatest common factor 7331,1560 is 1.

Lets's calculate LCM of 521,9183

Given numbers has no common factors except 1. So, there LCM is their product i.e 4784343

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4784343

Therefore, the GCF of Fractions 7331/521,1560/9183 is 1/4784343

Least Common Multiple of 521,9183 with GCF Formula

Least Common Multiple of 521,9183 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 521,9183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,9183) = 1

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

GCF(521,9183) x common factors =1 x 1 = 1

LCM(521,9183) = ( 521 × 9183 ) / 1

LCM(521,9183) = 4784343 / 1

LCM(521,9183) = 4784343


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 7331/521, 1560/9183

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 7331/521, 1560/9183?

Answer: GCF of Numerators as per given numbers 7331/521, 1560/9183 is

GCF of Numerators i.e. for 7331,1560 is 1

LCM of denominators i.e. for 521,9183 is 4784343.

Thus, GCF of Fractions is 1/4784343.Finally, GCF of Fractions for 7331/521, 1560/9183 is 1/4784343.