Greatest Common Factor of 4013/239, 9724/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4013/239, 9724/461

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 4013/239,9724/461

Given fractions are 4013/239,9724/461

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 4013,9724

Greatest Common Factor of Numerators i.e. GCF of 4013,9724 is 1 .

LCM of Denominators means LCM of 239,461 as per the given fractions.

LCM of 239,461 is 110179 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4013,9724

GCF of Fractions 4013/239,9724/461 is 1/110179

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

Greatest Common Factor of 4013,9724 By Matching Biggest Common Factor Method

Greatest Common Factor of 4013,9724 By Matching Biggest Common Factor Method

Factors of 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1,4013

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Greatest Common Factor

We found the factors 4013,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 4013,9724 is 1.

Lets's calculate LCM of 239,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 110179

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110179

Therefore, the GCF of Fractions 4013/239,9724/461 is 1/110179

Least Common Multiple of 239,461 with GCF Formula

Least Common Multiple of 239,461 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 239,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,461) = 1

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

GCF(239,461) x common factors =1 x 1 = 1

LCM(239,461) = ( 239 × 461 ) / 1

LCM(239,461) = 110179 / 1

LCM(239,461) = 110179


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 4013/239, 9724/461

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 4013/239, 9724/461?

Answer: GCF of Numerators as per given numbers 4013/239, 9724/461 is

GCF of Numerators i.e. for 4013,9724 is 1

LCM of denominators i.e. for 239,461 is 110179.

Thus, GCF of Fractions is 1/110179.Finally, GCF of Fractions for 4013/239, 9724/461 is 1/110179.