Greatest Common Factor of 396/292, 9638/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/292, 9638/109

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 396/292,9638/109

Given fractions are 396/292,9638/109

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 396,9638

Greatest Common Factor of Numerators i.e. GCF of 396,9638 is 2 .

LCM of Denominators means LCM of 292,109 as per the given fractions.

LCM of 292,109 is 31828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,9638

GCF of Fractions 396/292,9638/109 is 2/31828

2 396, 9638
198, 4819

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

Greatest Common Factor of 396,9638 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,9638 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1,2,61,79,122,158,4819,9638

Greatest Common Factor

We found the factors 396,9638 . The biggest common factor number is the GCF number.
So the greatest common factor 396,9638 is 2.

Lets's calculate LCM of 292,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 31828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31828

Therefore, the GCF of Fractions 396/292,9638/109 is 2/31828

Least Common Multiple of 292,109 with GCF Formula

Least Common Multiple of 292,109 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 292,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,109) = 1

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

GCF(292,109) x common factors =1 x 1 = 1

LCM(292,109) = ( 292 × 109 ) / 1

LCM(292,109) = 31828 / 1

LCM(292,109) = 31828


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 396/292, 9638/109

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 396/292, 9638/109?

Answer: GCF of Numerators as per given numbers 396/292, 9638/109 is

GCF of Numerators i.e. for 396,9638 is 2

LCM of denominators i.e. for 292,109 is 31828.

Thus, GCF of Fractions is 2/31828.Finally, GCF of Fractions for 396/292, 9638/109 is 2/31828.