Greatest Common Factor of 13/23, 53/24, 758/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/23, 53/24, 758/772

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 13/23,53/24,758/772

Given fractions are 13/23,53/24,758/772

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 13,53,758

Greatest Common Factor of Numerators i.e. GCF of 13,53,758 is 1 .

LCM of Denominators means LCM of 23,24,772 as per the given fractions.

LCM of 23,24,772 is 106536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,53,758

GCF of Fractions 13/23,53/24,758/772 is 1/106536

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

Greatest Common Factor of 13,53,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,53,758 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 13,53,758 . The biggest common factor number is the GCF number.
So the greatest common factor 13,53,758 is 1.

Lets's calculate LCM of 23,24,772

2 23, 24, 772
2 23, 12, 386
23, 6, 193

∴ So the LCM of the given numbers is 2 x 2 x 23 x 6 x 193 = 106536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106536

Therefore, the GCF of Fractions 13/23,53/24,758/772 is 1/106536

Least Common Multiple of 23,24,772 with GCF Formula

Least Common Multiple of 23,24,772 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 23,24,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,24,772) = 1

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

GCF(23,24,772) x common factors =1 x 4 = 4

LCM(23,24,772) = ( 23 × 24 × 772 ) / 4

LCM(23,24,772) = 426144 / 4

LCM(23,24,772) = 106536


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 13/23, 53/24, 758/772

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 13/23, 53/24, 758/772?

Answer: GCF of Numerators as per given numbers 13/23, 53/24, 758/772 is

GCF of Numerators i.e. for 13,53,758 is 1

LCM of denominators i.e. for 23,24,772 is 106536.

Thus, GCF of Fractions is 1/106536.Finally, GCF of Fractions for 13/23, 53/24, 758/772 is 1/106536.