Greatest Common Factor of 7204/820, 4782/9432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7204/820, 4782/9432

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 7204/820,4782/9432

Given fractions are 7204/820,4782/9432

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 7204,4782

Greatest Common Factor of Numerators i.e. GCF of 7204,4782 is 2 .

LCM of Denominators means LCM of 820,9432 as per the given fractions.

LCM of 820,9432 is 1933560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7204,4782

GCF of Fractions 7204/820,4782/9432 is 2/1933560

2 7204, 4782
3602, 2391

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

Greatest Common Factor of 7204,4782 By Matching Biggest Common Factor Method

Greatest Common Factor of 7204,4782 By Matching Biggest Common Factor Method

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1,2,3,6,797,1594,2391,4782

Greatest Common Factor

We found the factors 7204,4782 . The biggest common factor number is the GCF number.
So the greatest common factor 7204,4782 is 2.

Lets's calculate LCM of 820,9432

2 820, 9432
2 410, 4716
205, 2358

∴ So the LCM of the given numbers is 2 x 2 x 205 x 2358 = 1933560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1933560

Therefore, the GCF of Fractions 7204/820,4782/9432 is 2/1933560

Least Common Multiple of 820,9432 with GCF Formula

Least Common Multiple of 820,9432 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 820,9432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,9432) = 4

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

GCF(820,9432) x common factors =4 x 1 = 4

LCM(820,9432) = ( 820 × 9432 ) / 4

LCM(820,9432) = 7734240 / 4

LCM(820,9432) = 1933560


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 7204/820, 4782/9432

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 7204/820, 4782/9432?

Answer: GCF of Numerators as per given numbers 7204/820, 4782/9432 is

GCF of Numerators i.e. for 7204,4782 is 2

LCM of denominators i.e. for 820,9432 is 1933560.

Thus, GCF of Fractions is 2/1933560.Finally, GCF of Fractions for 7204/820, 4782/9432 is 2/1933560.