Greatest Common Factor of 87/545, 31/333, 832/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/545, 31/333, 832/275

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 87/545,31/333,832/275

Given fractions are 87/545,31/333,832/275

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 87,31,832

Greatest Common Factor of Numerators i.e. GCF of 87,31,832 is 1 .

LCM of Denominators means LCM of 545,333,275 as per the given fractions.

LCM of 545,333,275 is 9981675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,31,832

GCF of Fractions 87/545,31/333,832/275 is 1/9981675

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

Greatest Common Factor of 87,31,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,31,832 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 87,31,832 . The biggest common factor number is the GCF number.
So the greatest common factor 87,31,832 is 1.

Lets's calculate LCM of 545,333,275

5 545, 333, 275
109, 333, 55

∴ So the LCM of the given numbers is 5 x 109 x 333 x 55 = 9981675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9981675

Therefore, the GCF of Fractions 87/545,31/333,832/275 is 1/9981675

Least Common Multiple of 545,333,275 with GCF Formula

Least Common Multiple of 545,333,275 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 545,333,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,333,275) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(545,333,275) x common factors =1 x 5 = 5

LCM(545,333,275) = ( 545 × 333 × 275 ) / 5

LCM(545,333,275) = 49908375 / 5

LCM(545,333,275) = 9981675


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 87/545, 31/333, 832/275

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 87/545, 31/333, 832/275?

Answer: GCF of Numerators as per given numbers 87/545, 31/333, 832/275 is

GCF of Numerators i.e. for 87,31,832 is 1

LCM of denominators i.e. for 545,333,275 is 9981675.

Thus, GCF of Fractions is 1/9981675.Finally, GCF of Fractions for 87/545, 31/333, 832/275 is 1/9981675.