Greatest Common Factor of 960/22, 840/54, 921/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 960/22, 840/54, 921/815

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 960/22,840/54,921/815

Given fractions are 960/22,840/54,921/815

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 960,840,921

Greatest Common Factor of Numerators i.e. GCF of 960,840,921 is 3 .

LCM of Denominators means LCM of 22,54,815 as per the given fractions.

LCM of 22,54,815 is 484110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 960,840,921

GCF of Fractions 960/22,840/54,921/815 is 3/484110

3 960, 840, 921
320, 280, 307

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 960,840,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,840,921 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 960,840,921 . The biggest common factor number is the GCF number.
So the greatest common factor 960,840,921 is 3.

Lets's calculate LCM of 22,54,815

2 22, 54, 815
11, 27, 815

∴ So the LCM of the given numbers is 2 x 11 x 27 x 815 = 484110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/484110

Therefore, the GCF of Fractions 960/22,840/54,921/815 is 3/484110

Least Common Multiple of 22,54,815 with GCF Formula

Least Common Multiple of 22,54,815 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 22,54,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,54,815) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,54,815) x common factors =1 x 2 = 2

LCM(22,54,815) = ( 22 × 54 × 815 ) / 2

LCM(22,54,815) = 968220 / 2

LCM(22,54,815) = 484110


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 960/22, 840/54, 921/815

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 960/22, 840/54, 921/815?

Answer: GCF of Numerators as per given numbers 960/22, 840/54, 921/815 is

GCF of Numerators i.e. for 960,840,921 is 3

LCM of denominators i.e. for 22,54,815 is 484110.

Thus, GCF of Fractions is 3/484110.Finally, GCF of Fractions for 960/22, 840/54, 921/815 is 3/484110.