Greatest Common Factor of 21/96, 33/13, 925/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/96, 33/13, 925/143

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 21/96,33/13,925/143

Given fractions are 21/96,33/13,925/143

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 21,33,925

Greatest Common Factor of Numerators i.e. GCF of 21,33,925 is 1 .

LCM of Denominators means LCM of 96,13,143 as per the given fractions.

LCM of 96,13,143 is 13728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,33,925

GCF of Fractions 21/96,33/13,925/143 is 1/13728

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

Greatest Common Factor of 21,33,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,33,925 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 21,33,925 . The biggest common factor number is the GCF number.
So the greatest common factor 21,33,925 is 1.

Lets's calculate LCM of 96,13,143

13 96, 13, 143
96, 1, 11

∴ So the LCM of the given numbers is 13 x 96 x 1 x 11 = 13728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13728

Therefore, the GCF of Fractions 21/96,33/13,925/143 is 1/13728

Least Common Multiple of 96,13,143 with GCF Formula

Least Common Multiple of 96,13,143 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 96,13,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,13,143) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(96,13,143) x common factors =1 x 13 = 13

LCM(96,13,143) = ( 96 × 13 × 143 ) / 13

LCM(96,13,143) = 178464 / 13

LCM(96,13,143) = 13728


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 21/96, 33/13, 925/143

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 21/96, 33/13, 925/143?

Answer: GCF of Numerators as per given numbers 21/96, 33/13, 925/143 is

GCF of Numerators i.e. for 21,33,925 is 1

LCM of denominators i.e. for 96,13,143 is 13728.

Thus, GCF of Fractions is 1/13728.Finally, GCF of Fractions for 21/96, 33/13, 925/143 is 1/13728.