Greatest Common Factor of 212/72, 454/82, 960/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/72, 454/82, 960/223

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 212/72,454/82,960/223

Given fractions are 212/72,454/82,960/223

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 212,454,960

Greatest Common Factor of Numerators i.e. GCF of 212,454,960 is 2 .

LCM of Denominators means LCM of 72,82,223 as per the given fractions.

LCM of 72,82,223 is 658296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,454,960

GCF of Fractions 212/72,454/82,960/223 is 2/658296

2 212, 454, 960
106, 227, 480

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 212,454,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,454,960 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

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

Greatest Common Factor

We found the factors 212,454,960 . The biggest common factor number is the GCF number.
So the greatest common factor 212,454,960 is 2.

Lets's calculate LCM of 72,82,223

2 72, 82, 223
36, 41, 223

∴ So the LCM of the given numbers is 2 x 36 x 41 x 223 = 658296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/658296

Therefore, the GCF of Fractions 212/72,454/82,960/223 is 2/658296

Least Common Multiple of 72,82,223 with GCF Formula

Least Common Multiple of 72,82,223 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 72,82,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,82,223) = 1

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

GCF(72,82,223) x common factors =1 x 2 = 2

LCM(72,82,223) = ( 72 × 82 × 223 ) / 2

LCM(72,82,223) = 1316592 / 2

LCM(72,82,223) = 658296


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 212/72, 454/82, 960/223

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 212/72, 454/82, 960/223?

Answer: GCF of Numerators as per given numbers 212/72, 454/82, 960/223 is

GCF of Numerators i.e. for 212,454,960 is 2

LCM of denominators i.e. for 72,82,223 is 658296.

Thus, GCF of Fractions is 2/658296.Finally, GCF of Fractions for 212/72, 454/82, 960/223 is 2/658296.