Greatest Common Factor of 85/531, 91/140, 527/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/531, 91/140, 527/932

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 85/531,91/140,527/932

Given fractions are 85/531,91/140,527/932

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 85,91,527

Greatest Common Factor of Numerators i.e. GCF of 85,91,527 is 1 .

LCM of Denominators means LCM of 531,140,932 as per the given fractions.

LCM of 531,140,932 is 17321220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,91,527

GCF of Fractions 85/531,91/140,527/932 is 1/17321220

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

Greatest Common Factor of 85,91,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,91,527 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 85,91,527 . The biggest common factor number is the GCF number.
So the greatest common factor 85,91,527 is 1.

Lets's calculate LCM of 531,140,932

2 531, 140, 932
2 531, 70, 466
531, 35, 233

∴ So the LCM of the given numbers is 2 x 2 x 531 x 35 x 233 = 17321220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17321220

Therefore, the GCF of Fractions 85/531,91/140,527/932 is 1/17321220

Least Common Multiple of 531,140,932 with GCF Formula

Least Common Multiple of 531,140,932 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 531,140,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,140,932) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(531,140,932) x common factors =1 x 4 = 4

LCM(531,140,932) = ( 531 × 140 × 932 ) / 4

LCM(531,140,932) = 69284880 / 4

LCM(531,140,932) = 17321220


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 85/531, 91/140, 527/932

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 85/531, 91/140, 527/932?

Answer: GCF of Numerators as per given numbers 85/531, 91/140, 527/932 is

GCF of Numerators i.e. for 85,91,527 is 1

LCM of denominators i.e. for 531,140,932 is 17321220.

Thus, GCF of Fractions is 1/17321220.Finally, GCF of Fractions for 85/531, 91/140, 527/932 is 1/17321220.