Greatest Common Factor of 9844/865, 6324/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9844/865, 6324/710

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 9844/865,6324/710

Given fractions are 9844/865,6324/710

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 9844,6324

Greatest Common Factor of Numerators i.e. GCF of 9844,6324 is 4 .

LCM of Denominators means LCM of 865,710 as per the given fractions.

LCM of 865,710 is 122830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9844,6324

GCF of Fractions 9844/865,6324/710 is 4/122830

2 9844, 6324
2 4922, 3162
2461, 1581

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

Greatest Common Factor of 9844,6324 By Matching Biggest Common Factor Method

Greatest Common Factor of 9844,6324 By Matching Biggest Common Factor Method

Factors of 9844

List of positive integer factors of 9844 that divides 9844 without a remainder.

1,2,4,23,46,92,107,214,428,2461,4922,9844

Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324

Greatest Common Factor

We found the factors 9844,6324 . The biggest common factor number is the GCF number.
So the greatest common factor 9844,6324 is 4.

Lets's calculate LCM of 865,710

5 865, 710
173, 142

∴ So the LCM of the given numbers is 5 x 173 x 142 = 122830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/122830

Therefore, the GCF of Fractions 9844/865,6324/710 is 4/122830

Least Common Multiple of 865,710 with GCF Formula

Least Common Multiple of 865,710 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 865,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,710) = 5

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

GCF(865,710) x common factors =5 x 1 = 5

LCM(865,710) = ( 865 × 710 ) / 5

LCM(865,710) = 614150 / 5

LCM(865,710) = 122830


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 9844/865, 6324/710

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 9844/865, 6324/710?

Answer: GCF of Numerators as per given numbers 9844/865, 6324/710 is

GCF of Numerators i.e. for 9844,6324 is 4

LCM of denominators i.e. for 865,710 is 122830.

Thus, GCF of Fractions is 4/122830.Finally, GCF of Fractions for 9844/865, 6324/710 is 4/122830.