Greatest Common Factor of 4744/480, 4052/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4744/480, 4052/493

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 4744/480,4052/493

Given fractions are 4744/480,4052/493

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 4744,4052

Greatest Common Factor of Numerators i.e. GCF of 4744,4052 is 4 .

LCM of Denominators means LCM of 480,493 as per the given fractions.

LCM of 480,493 is 236640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4744,4052

GCF of Fractions 4744/480,4052/493 is 4/236640

2 4744, 4052
2 2372, 2026
1186, 1013

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

Greatest Common Factor of 4744,4052 By Matching Biggest Common Factor Method

Greatest Common Factor of 4744,4052 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 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1,2,4,1013,2026,4052

Greatest Common Factor

We found the factors 4744,4052 . The biggest common factor number is the GCF number.
So the greatest common factor 4744,4052 is 4.

Lets's calculate LCM of 480,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 236640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/236640

Therefore, the GCF of Fractions 4744/480,4052/493 is 4/236640

Least Common Multiple of 480,493 with GCF Formula

Least Common Multiple of 480,493 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 480,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,493) = 1

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

GCF(480,493) x common factors =1 x 1 = 1

LCM(480,493) = ( 480 × 493 ) / 1

LCM(480,493) = 236640 / 1

LCM(480,493) = 236640


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 4744/480, 4052/493

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 4744/480, 4052/493?

Answer: GCF of Numerators as per given numbers 4744/480, 4052/493 is

GCF of Numerators i.e. for 4744,4052 is 4

LCM of denominators i.e. for 480,493 is 236640.

Thus, GCF of Fractions is 4/236640.Finally, GCF of Fractions for 4744/480, 4052/493 is 4/236640.