Greatest Common Factor of 6/87, 52/82, 60/797, 692/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/87, 52/82, 60/797, 692/332

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 6/87,52/82,60/797,692/332

Given fractions are 6/87,52/82,60/797,692/332

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 6,52,60,692

Greatest Common Factor of Numerators i.e. GCF of 6,52,60,692 is 2 .

LCM of Denominators means LCM of 87,82,797,332 as per the given fractions.

LCM of 87,82,797,332 is 943842468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,52,60,692

GCF of Fractions 6/87,52/82,60/797,692/332 is 2/943842468

2 6, 52, 60, 692
3, 26, 30, 346

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6,52,60,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,52,60,692 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 6,52,60,692 . The biggest common factor number is the GCF number.
So the greatest common factor 6,52,60,692 is 2.

Lets's calculate LCM of 87,82,797,332

2 87, 82, 797, 332
87, 41, 797, 166

∴ So the LCM of the given numbers is 2 x 87 x 41 x 797 x 166 = 943842468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/943842468

Therefore, the GCF of Fractions 6/87,52/82,60/797,692/332 is 2/943842468

Least Common Multiple of 87,82,797,332 with GCF Formula

Least Common Multiple of 87,82,797,332 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 87,82,797,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,82,797,332) = 1

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

GCF(87,82,797,332) x common factors =1 x 2 = 2

LCM(87,82,797,332) = ( 87 × 82 × 797 × 332 ) / 2

LCM(87,82,797,332) = 1887684936 / 2

LCM(87,82,797,332) = 943842468


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 6/87, 52/82, 60/797, 692/332

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 6/87, 52/82, 60/797, 692/332?

Answer: GCF of Numerators as per given numbers 6/87, 52/82, 60/797, 692/332 is

GCF of Numerators i.e. for 6,52,60,692 is 2

LCM of denominators i.e. for 87,82,797,332 is 943842468.

Thus, GCF of Fractions is 2/943842468.Finally, GCF of Fractions for 6/87, 52/82, 60/797, 692/332 is 2/943842468.