Greatest Common Factor of 4744/92, 5724/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4744/92, 5724/665

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 4744/92,5724/665

Given fractions are 4744/92,5724/665

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 4744,5724

Greatest Common Factor of Numerators i.e. GCF of 4744,5724 is 4 .

LCM of Denominators means LCM of 92,665 as per the given fractions.

LCM of 92,665 is 61180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4744,5724

GCF of Fractions 4744/92,5724/665 is 4/61180

2 4744, 5724
2 2372, 2862
1186, 1431

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4744,5724 By Matching Biggest Common Factor Method

Greatest Common Factor of 4744,5724 By Matching Biggest Common Factor Method

Factors of 4744

List of positive integer factors of 4744 that divides 4744 without a remainder.

1,2,4,8,593,1186,2372,4744

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Greatest Common Factor

We found the factors 4744,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 4744,5724 is 4.

Lets's calculate LCM of 92,665

Given numbers has no common factors except 1. So, there LCM is their product i.e 61180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61180

Therefore, the GCF of Fractions 4744/92,5724/665 is 4/61180

Least Common Multiple of 92,665 with GCF Formula

Least Common Multiple of 92,665 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 92,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,665) = 1

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

GCF(92,665) x common factors =1 x 1 = 1

LCM(92,665) = ( 92 × 665 ) / 1

LCM(92,665) = 61180 / 1

LCM(92,665) = 61180


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 4744/92, 5724/665

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 4744/92, 5724/665?

Answer: GCF of Numerators as per given numbers 4744/92, 5724/665 is

GCF of Numerators i.e. for 4744,5724 is 4

LCM of denominators i.e. for 92,665 is 61180.

Thus, GCF of Fractions is 4/61180.Finally, GCF of Fractions for 4744/92, 5724/665 is 4/61180.