Greatest Common Factor of 382/99, 831/24, 537/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/99, 831/24, 537/924

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 382/99,831/24,537/924

Given fractions are 382/99,831/24,537/924

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 382,831,537

Greatest Common Factor of Numerators i.e. GCF of 382,831,537 is 1 .

LCM of Denominators means LCM of 99,24,924 as per the given fractions.

LCM of 99,24,924 is 5544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,831,537

GCF of Fractions 382/99,831/24,537/924 is 1/5544

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

Greatest Common Factor of 382,831,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,831,537 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 831

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

1,3,277,831

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 382,831,537 . The biggest common factor number is the GCF number.
So the greatest common factor 382,831,537 is 1.

Lets's calculate LCM of 99,24,924

2 99, 24, 924
2 99, 12, 462
3 99, 6, 231
11 33, 2, 77
3, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 3 x 2 x 7 = 5544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5544

Therefore, the GCF of Fractions 382/99,831/24,537/924 is 1/5544

Least Common Multiple of 99,24,924 with GCF Formula

Least Common Multiple of 99,24,924 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 99,24,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,24,924) = 3

common factors(in case of two or more numbers have common factors) = 132

GCF(99,24,924) x common factors =3 x 132 = 396

LCM(99,24,924) = ( 99 × 24 × 924 ) / 396

LCM(99,24,924) = 2195424 / 396

LCM(99,24,924) = 5544


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 382/99, 831/24, 537/924

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 382/99, 831/24, 537/924?

Answer: GCF of Numerators as per given numbers 382/99, 831/24, 537/924 is

GCF of Numerators i.e. for 382,831,537 is 1

LCM of denominators i.e. for 99,24,924 is 5544.

Thus, GCF of Fractions is 1/5544.Finally, GCF of Fractions for 382/99, 831/24, 537/924 is 1/5544.