Greatest Common Factor of 101/96, 553/91, 410/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 101/96, 553/91, 410/924

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 101/96,553/91,410/924

Given fractions are 101/96,553/91,410/924

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 101,553,410

Greatest Common Factor of Numerators i.e. GCF of 101,553,410 is 1 .

LCM of Denominators means LCM of 96,91,924 as per the given fractions.

LCM of 96,91,924 is 96096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 101,553,410

GCF of Fractions 101/96,553/91,410/924 is 1/96096

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

Greatest Common Factor of 101,553,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,553,410 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 101,553,410 . The biggest common factor number is the GCF number.
So the greatest common factor 101,553,410 is 1.

Lets's calculate LCM of 96,91,924

2 96, 91, 924
2 48, 91, 462
3 24, 91, 231
7 8, 91, 77
8, 13, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 13 x 11 = 96096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96096

Therefore, the GCF of Fractions 101/96,553/91,410/924 is 1/96096

Least Common Multiple of 96,91,924 with GCF Formula

Least Common Multiple of 96,91,924 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 96,91,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,91,924) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(96,91,924) x common factors =1 x 84 = 84

LCM(96,91,924) = ( 96 × 91 × 924 ) / 84

LCM(96,91,924) = 8072064 / 84

LCM(96,91,924) = 96096


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 101/96, 553/91, 410/924

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 101/96, 553/91, 410/924?

Answer: GCF of Numerators as per given numbers 101/96, 553/91, 410/924 is

GCF of Numerators i.e. for 101,553,410 is 1

LCM of denominators i.e. for 96,91,924 is 96096.

Thus, GCF of Fractions is 1/96096.Finally, GCF of Fractions for 101/96, 553/91, 410/924 is 1/96096.