Greatest Common Factor of 867/591, 134/813, 527/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/591, 134/813, 527/857

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 867/591,134/813,527/857

Given fractions are 867/591,134/813,527/857

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 867,134,527

Greatest Common Factor of Numerators i.e. GCF of 867,134,527 is 1 .

LCM of Denominators means LCM of 591,813,857 as per the given fractions.

LCM of 591,813,857 is 137257977 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,134,527

GCF of Fractions 867/591,134/813,527/857 is 1/137257977

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

Greatest Common Factor of 867,134,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,134,527 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

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 867,134,527 . The biggest common factor number is the GCF number.
So the greatest common factor 867,134,527 is 1.

Lets's calculate LCM of 591,813,857

3 591, 813, 857
197, 271, 857

∴ So the LCM of the given numbers is 3 x 197 x 271 x 857 = 137257977

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137257977

Therefore, the GCF of Fractions 867/591,134/813,527/857 is 1/137257977

Least Common Multiple of 591,813,857 with GCF Formula

Least Common Multiple of 591,813,857 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 591,813,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,813,857) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(591,813,857) x common factors =1 x 3 = 3

LCM(591,813,857) = ( 591 × 813 × 857 ) / 3

LCM(591,813,857) = 411773931 / 3

LCM(591,813,857) = 137257977


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 867/591, 134/813, 527/857

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 867/591, 134/813, 527/857?

Answer: GCF of Numerators as per given numbers 867/591, 134/813, 527/857 is

GCF of Numerators i.e. for 867,134,527 is 1

LCM of denominators i.e. for 591,813,857 is 137257977.

Thus, GCF of Fractions is 1/137257977.Finally, GCF of Fractions for 867/591, 134/813, 527/857 is 1/137257977.