Greatest Common Factor of 879/71, 332/94, 358/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 879/71, 332/94, 358/86

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 879/71,332/94,358/86

Given fractions are 879/71,332/94,358/86

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 879,332,358

Greatest Common Factor of Numerators i.e. GCF of 879,332,358 is 1 .

LCM of Denominators means LCM of 71,94,86 as per the given fractions.

LCM of 71,94,86 is 286982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 879,332,358

GCF of Fractions 879/71,332/94,358/86 is 1/286982

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

Greatest Common Factor of 879,332,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,332,358 By Matching Biggest Common Factor Method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 879,332,358 . The biggest common factor number is the GCF number.
So the greatest common factor 879,332,358 is 1.

Lets's calculate LCM of 71,94,86

2 71, 94, 86
71, 47, 43

∴ So the LCM of the given numbers is 2 x 71 x 47 x 43 = 286982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286982

Therefore, the GCF of Fractions 879/71,332/94,358/86 is 1/286982

Least Common Multiple of 71,94,86 with GCF Formula

Least Common Multiple of 71,94,86 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 71,94,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,94,86) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,94,86) x common factors =1 x 2 = 2

LCM(71,94,86) = ( 71 × 94 × 86 ) / 2

LCM(71,94,86) = 573964 / 2

LCM(71,94,86) = 286982


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 879/71, 332/94, 358/86

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 879/71, 332/94, 358/86?

Answer: GCF of Numerators as per given numbers 879/71, 332/94, 358/86 is

GCF of Numerators i.e. for 879,332,358 is 1

LCM of denominators i.e. for 71,94,86 is 286982.

Thus, GCF of Fractions is 1/286982.Finally, GCF of Fractions for 879/71, 332/94, 358/86 is 1/286982.