Greatest Common Factor of 7453/724, 7980/4406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7453/724, 7980/4406

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 7453/724,7980/4406

Given fractions are 7453/724,7980/4406

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 7453,7980

Greatest Common Factor of Numerators i.e. GCF of 7453,7980 is 1 .

LCM of Denominators means LCM of 724,4406 as per the given fractions.

LCM of 724,4406 is 1594972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7453,7980

GCF of Fractions 7453/724,7980/4406 is 1/1594972

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

Greatest Common Factor of 7453,7980 By Matching Biggest Common Factor Method

Greatest Common Factor of 7453,7980 By Matching Biggest Common Factor Method

Factors of 7453

List of positive integer factors of 7453 that divides 7453 without a remainder.

1,29,257,7453

Factors of 7980

List of positive integer factors of 7980 that divides 7980 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980

Greatest Common Factor

We found the factors 7453,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 7453,7980 is 1.

Lets's calculate LCM of 724,4406

2 724, 4406
362, 2203

∴ So the LCM of the given numbers is 2 x 362 x 2203 = 1594972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1594972

Therefore, the GCF of Fractions 7453/724,7980/4406 is 1/1594972

Least Common Multiple of 724,4406 with GCF Formula

Least Common Multiple of 724,4406 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 724,4406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,4406) = 2

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

GCF(724,4406) x common factors =2 x 1 = 2

LCM(724,4406) = ( 724 × 4406 ) / 2

LCM(724,4406) = 3189944 / 2

LCM(724,4406) = 1594972


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 7453/724, 7980/4406

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 7453/724, 7980/4406?

Answer: GCF of Numerators as per given numbers 7453/724, 7980/4406 is

GCF of Numerators i.e. for 7453,7980 is 1

LCM of denominators i.e. for 724,4406 is 1594972.

Thus, GCF of Fractions is 1/1594972.Finally, GCF of Fractions for 7453/724, 7980/4406 is 1/1594972.