Greatest Common Factor of 83/540, 9612/8472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/540, 9612/8472

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 83/540,9612/8472

Given fractions are 83/540,9612/8472

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 83,9612

Greatest Common Factor of Numerators i.e. GCF of 83,9612 is 1 .

LCM of Denominators means LCM of 540,8472 as per the given fractions.

LCM of 540,8472 is 381240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,9612

GCF of Fractions 83/540,9612/8472 is 1/381240

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

Greatest Common Factor of 83,9612 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,9612 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612

Greatest Common Factor

We found the factors 83,9612 . The biggest common factor number is the GCF number.
So the greatest common factor 83,9612 is 1.

Lets's calculate LCM of 540,8472

2 540, 8472
2 270, 4236
3 135, 2118
45, 706

∴ So the LCM of the given numbers is 2 x 2 x 3 x 45 x 706 = 381240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381240

Therefore, the GCF of Fractions 83/540,9612/8472 is 1/381240

Least Common Multiple of 540,8472 with GCF Formula

Least Common Multiple of 540,8472 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 540,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,8472) = 12

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

GCF(540,8472) x common factors =12 x 1 = 12

LCM(540,8472) = ( 540 × 8472 ) / 12

LCM(540,8472) = 4574880 / 12

LCM(540,8472) = 381240


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 83/540, 9612/8472

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 83/540, 9612/8472?

Answer: GCF of Numerators as per given numbers 83/540, 9612/8472 is

GCF of Numerators i.e. for 83,9612 is 1

LCM of denominators i.e. for 540,8472 is 381240.

Thus, GCF of Fractions is 1/381240.Finally, GCF of Fractions for 83/540, 9612/8472 is 1/381240.