Greatest Common Factor of 5242/198, 9916/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5242/198, 9916/695

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 5242/198,9916/695

Given fractions are 5242/198,9916/695

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 5242,9916

Greatest Common Factor of Numerators i.e. GCF of 5242,9916 is 2 .

LCM of Denominators means LCM of 198,695 as per the given fractions.

LCM of 198,695 is 137610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5242,9916

GCF of Fractions 5242/198,9916/695 is 2/137610

2 5242, 9916
2621, 4958

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

Greatest Common Factor of 5242,9916 By Matching Biggest Common Factor Method

Greatest Common Factor of 5242,9916 By Matching Biggest Common Factor Method

Factors of 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1,2,2621,5242

Factors of 9916

List of positive integer factors of 9916 that divides 9916 without a remainder.

1,2,4,37,67,74,134,148,268,2479,4958,9916

Greatest Common Factor

We found the factors 5242,9916 . The biggest common factor number is the GCF number.
So the greatest common factor 5242,9916 is 2.

Lets's calculate LCM of 198,695

Given numbers has no common factors except 1. So, there LCM is their product i.e 137610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137610

Therefore, the GCF of Fractions 5242/198,9916/695 is 2/137610

Least Common Multiple of 198,695 with GCF Formula

Least Common Multiple of 198,695 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 198,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,695) = 1

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

GCF(198,695) x common factors =1 x 1 = 1

LCM(198,695) = ( 198 × 695 ) / 1

LCM(198,695) = 137610 / 1

LCM(198,695) = 137610


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 5242/198, 9916/695

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 5242/198, 9916/695?

Answer: GCF of Numerators as per given numbers 5242/198, 9916/695 is

GCF of Numerators i.e. for 5242,9916 is 2

LCM of denominators i.e. for 198,695 is 137610.

Thus, GCF of Fractions is 2/137610.Finally, GCF of Fractions for 5242/198, 9916/695 is 2/137610.