Greatest Common Factor of 775/300, 524/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 775/300, 524/213

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 775/300,524/213

Given fractions are 775/300,524/213

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 775,524

Greatest Common Factor of Numerators i.e. GCF of 775,524 is 1 .

LCM of Denominators means LCM of 300,213 as per the given fractions.

LCM of 300,213 is 21300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 775,524

GCF of Fractions 775/300,524/213 is 1/21300

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

Greatest Common Factor of 775,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,524 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 775,524 . The biggest common factor number is the GCF number.
So the greatest common factor 775,524 is 1.

Lets's calculate LCM of 300,213

3 300, 213
100, 71

∴ So the LCM of the given numbers is 3 x 100 x 71 = 21300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21300

Therefore, the GCF of Fractions 775/300,524/213 is 1/21300

Least Common Multiple of 300,213 with GCF Formula

Least Common Multiple of 300,213 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 300,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,213) = 3

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

GCF(300,213) x common factors =3 x 1 = 3

LCM(300,213) = ( 300 × 213 ) / 3

LCM(300,213) = 63900 / 3

LCM(300,213) = 21300


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 775/300, 524/213

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 775/300, 524/213?

Answer: GCF of Numerators as per given numbers 775/300, 524/213 is

GCF of Numerators i.e. for 775,524 is 1

LCM of denominators i.e. for 300,213 is 21300.

Thus, GCF of Fractions is 1/21300.Finally, GCF of Fractions for 775/300, 524/213 is 1/21300.