Greatest Common Factor of 213/72, 500/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/72, 500/776

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 213/72,500/776

Given fractions are 213/72,500/776

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 213,500

Greatest Common Factor of Numerators i.e. GCF of 213,500 is 1 .

LCM of Denominators means LCM of 72,776 as per the given fractions.

LCM of 72,776 is 6984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,500

GCF of Fractions 213/72,500/776 is 1/6984

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

Greatest Common Factor of 213,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,500 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 213,500 . The biggest common factor number is the GCF number.
So the greatest common factor 213,500 is 1.

Lets's calculate LCM of 72,776

2 72, 776
2 36, 388
2 18, 194
9, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 97 = 6984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6984

Therefore, the GCF of Fractions 213/72,500/776 is 1/6984

Least Common Multiple of 72,776 with GCF Formula

Least Common Multiple of 72,776 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 72,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,776) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(72,776) x common factors =8 x 1 = 8

LCM(72,776) = ( 72 × 776 ) / 8

LCM(72,776) = 55872 / 8

LCM(72,776) = 6984


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 213/72, 500/776

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 213/72, 500/776?

Answer: GCF of Numerators as per given numbers 213/72, 500/776 is

GCF of Numerators i.e. for 213,500 is 1

LCM of denominators i.e. for 72,776 is 6984.

Thus, GCF of Fractions is 1/6984.Finally, GCF of Fractions for 213/72, 500/776 is 1/6984.