Greatest Common Factor of 10/522, 79/296, 435/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/522, 79/296, 435/413

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 10/522,79/296,435/413

Given fractions are 10/522,79/296,435/413

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 10,79,435

Greatest Common Factor of Numerators i.e. GCF of 10,79,435 is 1 .

LCM of Denominators means LCM of 522,296,413 as per the given fractions.

LCM of 522,296,413 is 31906728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,79,435

GCF of Fractions 10/522,79/296,435/413 is 1/31906728

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

Greatest Common Factor of 10,79,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,79,435 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 10,79,435 . The biggest common factor number is the GCF number.
So the greatest common factor 10,79,435 is 1.

Lets's calculate LCM of 522,296,413

2 522, 296, 413
261, 148, 413

∴ So the LCM of the given numbers is 2 x 261 x 148 x 413 = 31906728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31906728

Therefore, the GCF of Fractions 10/522,79/296,435/413 is 1/31906728

Least Common Multiple of 522,296,413 with GCF Formula

Least Common Multiple of 522,296,413 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 522,296,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,296,413) = 1

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

GCF(522,296,413) x common factors =1 x 2 = 2

LCM(522,296,413) = ( 522 × 296 × 413 ) / 2

LCM(522,296,413) = 63813456 / 2

LCM(522,296,413) = 31906728


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 10/522, 79/296, 435/413

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 10/522, 79/296, 435/413?

Answer: GCF of Numerators as per given numbers 10/522, 79/296, 435/413 is

GCF of Numerators i.e. for 10,79,435 is 1

LCM of denominators i.e. for 522,296,413 is 31906728.

Thus, GCF of Fractions is 1/31906728.Finally, GCF of Fractions for 10/522, 79/296, 435/413 is 1/31906728.