Greatest Common Factor of 831/86, 524/92, 965/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 831/86, 524/92, 965/204

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 831/86,524/92,965/204

Given fractions are 831/86,524/92,965/204

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 831,524,965

Greatest Common Factor of Numerators i.e. GCF of 831,524,965 is 1 .

LCM of Denominators means LCM of 86,92,204 as per the given fractions.

LCM of 86,92,204 is 201756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 831,524,965

GCF of Fractions 831/86,524/92,965/204 is 1/201756

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

Greatest Common Factor of 831,524,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,524,965 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 831,524,965 . The biggest common factor number is the GCF number.
So the greatest common factor 831,524,965 is 1.

Lets's calculate LCM of 86,92,204

2 86, 92, 204
2 43, 46, 102
43, 23, 51

∴ So the LCM of the given numbers is 2 x 2 x 43 x 23 x 51 = 201756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201756

Therefore, the GCF of Fractions 831/86,524/92,965/204 is 1/201756

Least Common Multiple of 86,92,204 with GCF Formula

Least Common Multiple of 86,92,204 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 86,92,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,92,204) = 2

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

GCF(86,92,204) x common factors =2 x 4 = 8

LCM(86,92,204) = ( 86 × 92 × 204 ) / 8

LCM(86,92,204) = 1614048 / 8

LCM(86,92,204) = 201756


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 831/86, 524/92, 965/204

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 831/86, 524/92, 965/204?

Answer: GCF of Numerators as per given numbers 831/86, 524/92, 965/204 is

GCF of Numerators i.e. for 831,524,965 is 1

LCM of denominators i.e. for 86,92,204 is 201756.

Thus, GCF of Fractions is 1/201756.Finally, GCF of Fractions for 831/86, 524/92, 965/204 is 1/201756.