Greatest Common Factor of 654/639, 9682/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/639, 9682/932

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 654/639,9682/932

Given fractions are 654/639,9682/932

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 654,9682

Greatest Common Factor of Numerators i.e. GCF of 654,9682 is 2 .

LCM of Denominators means LCM of 639,932 as per the given fractions.

LCM of 639,932 is 595548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,9682

GCF of Fractions 654/639,9682/932 is 2/595548

2 654, 9682
327, 4841

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

Greatest Common Factor of 654,9682 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,9682 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 9682

List of positive integer factors of 9682 that divides 9682 without a remainder.

1,2,47,94,103,206,4841,9682

Greatest Common Factor

We found the factors 654,9682 . The biggest common factor number is the GCF number.
So the greatest common factor 654,9682 is 2.

Lets's calculate LCM of 639,932

Given numbers has no common factors except 1. So, there LCM is their product i.e 595548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/595548

Therefore, the GCF of Fractions 654/639,9682/932 is 2/595548

Least Common Multiple of 639,932 with GCF Formula

Least Common Multiple of 639,932 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 639,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,932) = 1

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

GCF(639,932) x common factors =1 x 1 = 1

LCM(639,932) = ( 639 × 932 ) / 1

LCM(639,932) = 595548 / 1

LCM(639,932) = 595548


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 654/639, 9682/932

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 654/639, 9682/932?

Answer: GCF of Numerators as per given numbers 654/639, 9682/932 is

GCF of Numerators i.e. for 654,9682 is 2

LCM of denominators i.e. for 639,932 is 595548.

Thus, GCF of Fractions is 2/595548.Finally, GCF of Fractions for 654/639, 9682/932 is 2/595548.