Greatest Common Factor of 658/13, 613/64, 442/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 658/13, 613/64, 442/932

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 658/13,613/64,442/932

Given fractions are 658/13,613/64,442/932

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 658,613,442

Greatest Common Factor of Numerators i.e. GCF of 658,613,442 is 1 .

LCM of Denominators means LCM of 13,64,932 as per the given fractions.

LCM of 13,64,932 is 193856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 658,613,442

GCF of Fractions 658/13,613/64,442/932 is 1/193856

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

Greatest Common Factor of 658,613,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,613,442 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 658,613,442 . The biggest common factor number is the GCF number.
So the greatest common factor 658,613,442 is 1.

Lets's calculate LCM of 13,64,932

2 13, 64, 932
2 13, 32, 466
13, 16, 233

∴ So the LCM of the given numbers is 2 x 2 x 13 x 16 x 233 = 193856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193856

Therefore, the GCF of Fractions 658/13,613/64,442/932 is 1/193856

Least Common Multiple of 13,64,932 with GCF Formula

Least Common Multiple of 13,64,932 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 13,64,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,64,932) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(13,64,932) x common factors =1 x 4 = 4

LCM(13,64,932) = ( 13 × 64 × 932 ) / 4

LCM(13,64,932) = 775424 / 4

LCM(13,64,932) = 193856


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 658/13, 613/64, 442/932

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 658/13, 613/64, 442/932?

Answer: GCF of Numerators as per given numbers 658/13, 613/64, 442/932 is

GCF of Numerators i.e. for 658,613,442 is 1

LCM of denominators i.e. for 13,64,932 is 193856.

Thus, GCF of Fractions is 1/193856.Finally, GCF of Fractions for 658/13, 613/64, 442/932 is 1/193856.