Greatest Common Factor of 5/36, 43/99, 76/901, 953/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/36, 43/99, 76/901, 953/462

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 5/36,43/99,76/901,953/462

Given fractions are 5/36,43/99,76/901,953/462

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 5,43,76,953

Greatest Common Factor of Numerators i.e. GCF of 5,43,76,953 is 1 .

LCM of Denominators means LCM of 36,99,901,462 as per the given fractions.

LCM of 36,99,901,462 is 2497572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,43,76,953

GCF of Fractions 5/36,43/99,76/901,953/462 is 1/2497572

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

Greatest Common Factor of 5,43,76,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,43,76,953 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 5,43,76,953 . The biggest common factor number is the GCF number.
So the greatest common factor 5,43,76,953 is 1.

Lets's calculate LCM of 36,99,901,462

2 36, 99, 901, 462
3 18, 99, 901, 231
3 6, 33, 901, 77
11 2, 11, 901, 77
2, 1, 901, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 2 x 1 x 901 x 7 = 2497572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2497572

Therefore, the GCF of Fractions 5/36,43/99,76/901,953/462 is 1/2497572

Least Common Multiple of 36,99,901,462 with GCF Formula

Least Common Multiple of 36,99,901,462 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 36,99,901,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,99,901,462) = 1

common factors(in case of two or more numbers have common factors) = 594

GCF(36,99,901,462) x common factors =1 x 594 = 594

LCM(36,99,901,462) = ( 36 × 99 × 901 × 462 ) / 594

LCM(36,99,901,462) = 1483557768 / 594

LCM(36,99,901,462) = 2497572


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 5/36, 43/99, 76/901, 953/462

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 5/36, 43/99, 76/901, 953/462?

Answer: GCF of Numerators as per given numbers 5/36, 43/99, 76/901, 953/462 is

GCF of Numerators i.e. for 5,43,76,953 is 1

LCM of denominators i.e. for 36,99,901,462 is 2497572.

Thus, GCF of Fractions is 1/2497572.Finally, GCF of Fractions for 5/36, 43/99, 76/901, 953/462 is 1/2497572.