Greatest Common Factor of 4386/724, 5273/9252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4386/724, 5273/9252

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 4386/724,5273/9252

Given fractions are 4386/724,5273/9252

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 4386,5273

Greatest Common Factor of Numerators i.e. GCF of 4386,5273 is 1 .

LCM of Denominators means LCM of 724,9252 as per the given fractions.

LCM of 724,9252 is 1674612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4386,5273

GCF of Fractions 4386/724,5273/9252 is 1/1674612

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

Greatest Common Factor of 4386,5273 By Matching Biggest Common Factor Method

Greatest Common Factor of 4386,5273 By Matching Biggest Common Factor Method

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386

Factors of 5273

List of positive integer factors of 5273 that divides 5273 without a remainder.

1,5273

Greatest Common Factor

We found the factors 4386,5273 . The biggest common factor number is the GCF number.
So the greatest common factor 4386,5273 is 1.

Lets's calculate LCM of 724,9252

2 724, 9252
2 362, 4626
181, 2313

∴ So the LCM of the given numbers is 2 x 2 x 181 x 2313 = 1674612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1674612

Therefore, the GCF of Fractions 4386/724,5273/9252 is 1/1674612

Least Common Multiple of 724,9252 with GCF Formula

Least Common Multiple of 724,9252 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 724,9252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,9252) = 4

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

GCF(724,9252) x common factors =4 x 1 = 4

LCM(724,9252) = ( 724 × 9252 ) / 4

LCM(724,9252) = 6698448 / 4

LCM(724,9252) = 1674612


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 4386/724, 5273/9252

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 4386/724, 5273/9252?

Answer: GCF of Numerators as per given numbers 4386/724, 5273/9252 is

GCF of Numerators i.e. for 4386,5273 is 1

LCM of denominators i.e. for 724,9252 is 1674612.

Thus, GCF of Fractions is 1/1674612.Finally, GCF of Fractions for 4386/724, 5273/9252 is 1/1674612.