Greatest Common Factor of 5135/24, 3763/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5135/24, 3763/487

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 5135/24,3763/487

Given fractions are 5135/24,3763/487

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 5135,3763

Greatest Common Factor of Numerators i.e. GCF of 5135,3763 is 1 .

LCM of Denominators means LCM of 24,487 as per the given fractions.

LCM of 24,487 is 11688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5135,3763

GCF of Fractions 5135/24,3763/487 is 1/11688

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

Greatest Common Factor of 5135,3763 By Matching Biggest Common Factor Method

Greatest Common Factor of 5135,3763 By Matching Biggest Common Factor Method

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1,5,13,65,79,395,1027,5135

Factors of 3763

List of positive integer factors of 3763 that divides 3763 without a remainder.

1,53,71,3763

Greatest Common Factor

We found the factors 5135,3763 . The biggest common factor number is the GCF number.
So the greatest common factor 5135,3763 is 1.

Lets's calculate LCM of 24,487

Given numbers has no common factors except 1. So, there LCM is their product i.e 11688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11688

Therefore, the GCF of Fractions 5135/24,3763/487 is 1/11688

Least Common Multiple of 24,487 with GCF Formula

Least Common Multiple of 24,487 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 24,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,487) = 1

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

GCF(24,487) x common factors =1 x 1 = 1

LCM(24,487) = ( 24 × 487 ) / 1

LCM(24,487) = 11688 / 1

LCM(24,487) = 11688


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 5135/24, 3763/487

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 5135/24, 3763/487?

Answer: GCF of Numerators as per given numbers 5135/24, 3763/487 is

GCF of Numerators i.e. for 5135,3763 is 1

LCM of denominators i.e. for 24,487 is 11688.

Thus, GCF of Fractions is 1/11688.Finally, GCF of Fractions for 5135/24, 3763/487 is 1/11688.