Greatest Common Factor of 9826/392, 6568/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9826/392, 6568/732

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 9826/392,6568/732

Given fractions are 9826/392,6568/732

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 9826,6568

Greatest Common Factor of Numerators i.e. GCF of 9826,6568 is 2 .

LCM of Denominators means LCM of 392,732 as per the given fractions.

LCM of 392,732 is 71736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9826,6568

GCF of Fractions 9826/392,6568/732 is 2/71736

2 9826, 6568
4913, 3284

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

Greatest Common Factor of 9826,6568 By Matching Biggest Common Factor Method

Greatest Common Factor of 9826,6568 By Matching Biggest Common Factor Method

Factors of 9826

List of positive integer factors of 9826 that divides 9826 without a remainder.

1,2,17,34,289,578,4913,9826

Factors of 6568

List of positive integer factors of 6568 that divides 6568 without a remainder.

1,2,4,8,821,1642,3284,6568

Greatest Common Factor

We found the factors 9826,6568 . The biggest common factor number is the GCF number.
So the greatest common factor 9826,6568 is 2.

Lets's calculate LCM of 392,732

2 392, 732
2 196, 366
98, 183

∴ So the LCM of the given numbers is 2 x 2 x 98 x 183 = 71736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71736

Therefore, the GCF of Fractions 9826/392,6568/732 is 2/71736

Least Common Multiple of 392,732 with GCF Formula

Least Common Multiple of 392,732 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 392,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,732) = 4

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

GCF(392,732) x common factors =4 x 1 = 4

LCM(392,732) = ( 392 × 732 ) / 4

LCM(392,732) = 286944 / 4

LCM(392,732) = 71736


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 9826/392, 6568/732

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 9826/392, 6568/732?

Answer: GCF of Numerators as per given numbers 9826/392, 6568/732 is

GCF of Numerators i.e. for 9826,6568 is 2

LCM of denominators i.e. for 392,732 is 71736.

Thus, GCF of Fractions is 2/71736.Finally, GCF of Fractions for 9826/392, 6568/732 is 2/71736.