Greatest Common Factor of 9342/721, 7382/5870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9342/721, 7382/5870

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 9342/721,7382/5870

Given fractions are 9342/721,7382/5870

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 9342,7382

Greatest Common Factor of Numerators i.e. GCF of 9342,7382 is 2 .

LCM of Denominators means LCM of 721,5870 as per the given fractions.

LCM of 721,5870 is 4232270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9342,7382

GCF of Fractions 9342/721,7382/5870 is 2/4232270

2 9342, 7382
4671, 3691

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

Greatest Common Factor of 9342,7382 By Matching Biggest Common Factor Method

Greatest Common Factor of 9342,7382 By Matching Biggest Common Factor Method

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Greatest Common Factor

We found the factors 9342,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 9342,7382 is 2.

Lets's calculate LCM of 721,5870

Given numbers has no common factors except 1. So, there LCM is their product i.e 4232270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4232270

Therefore, the GCF of Fractions 9342/721,7382/5870 is 2/4232270

Least Common Multiple of 721,5870 with GCF Formula

Least Common Multiple of 721,5870 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 721,5870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,5870) = 1

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

GCF(721,5870) x common factors =1 x 1 = 1

LCM(721,5870) = ( 721 × 5870 ) / 1

LCM(721,5870) = 4232270 / 1

LCM(721,5870) = 4232270


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 9342/721, 7382/5870

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 9342/721, 7382/5870?

Answer: GCF of Numerators as per given numbers 9342/721, 7382/5870 is

GCF of Numerators i.e. for 9342,7382 is 2

LCM of denominators i.e. for 721,5870 is 4232270.

Thus, GCF of Fractions is 2/4232270.Finally, GCF of Fractions for 9342/721, 7382/5870 is 2/4232270.