Greatest Common Factor of 1/13, 86/29, 72/956, 797/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/13, 86/29, 72/956, 797/909

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 1/13,86/29,72/956,797/909

Given fractions are 1/13,86/29,72/956,797/909

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 1,86,72,797

Greatest Common Factor of Numerators i.e. GCF of 1,86,72,797 is 1 .

LCM of Denominators means LCM of 13,29,956,909 as per the given fractions.

LCM of 13,29,956,909 is 327614508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,86,72,797

GCF of Fractions 1/13,86/29,72/956,797/909 is 1/327614508

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

Greatest Common Factor of 1,86,72,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,86,72,797 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 1,86,72,797 . The biggest common factor number is the GCF number.
So the greatest common factor 1,86,72,797 is 1.

Lets's calculate LCM of 13,29,956,909

Given numbers has no common factors except 1. So, there LCM is their product i.e 327614508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327614508

Therefore, the GCF of Fractions 1/13,86/29,72/956,797/909 is 1/327614508

Least Common Multiple of 13,29,956,909 with GCF Formula

Least Common Multiple of 13,29,956,909 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 13,29,956,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,29,956,909) = 1

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

GCF(13,29,956,909) x common factors =1 x 1 = 1

LCM(13,29,956,909) = ( 13 × 29 × 956 × 909 ) / 1

LCM(13,29,956,909) = 327614508 / 1

LCM(13,29,956,909) = 327614508


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 1/13, 86/29, 72/956, 797/909

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 1/13, 86/29, 72/956, 797/909?

Answer: GCF of Numerators as per given numbers 1/13, 86/29, 72/956, 797/909 is

GCF of Numerators i.e. for 1,86,72,797 is 1

LCM of denominators i.e. for 13,29,956,909 is 327614508.

Thus, GCF of Fractions is 1/327614508.Finally, GCF of Fractions for 1/13, 86/29, 72/956, 797/909 is 1/327614508.