Greatest Common Factor of 5222/153, 8101/1961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5222/153, 8101/1961

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 5222/153,8101/1961

Given fractions are 5222/153,8101/1961

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 5222,8101

Greatest Common Factor of Numerators i.e. GCF of 5222,8101 is 1 .

LCM of Denominators means LCM of 153,1961 as per the given fractions.

LCM of 153,1961 is 300033 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5222,8101

GCF of Fractions 5222/153,8101/1961 is 1/300033

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5222,8101 By Matching Biggest Common Factor Method

Greatest Common Factor of 5222,8101 By Matching Biggest Common Factor Method

Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1,2,7,14,373,746,2611,5222

Factors of 8101

List of positive integer factors of 8101 that divides 8101 without a remainder.

1,8101

Greatest Common Factor

We found the factors 5222,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 5222,8101 is 1.

Lets's calculate LCM of 153,1961

Given numbers has no common factors except 1. So, there LCM is their product i.e 300033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300033

Therefore, the GCF of Fractions 5222/153,8101/1961 is 1/300033

Least Common Multiple of 153,1961 with GCF Formula

Least Common Multiple of 153,1961 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 153,1961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,1961) = 1

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

GCF(153,1961) x common factors =1 x 1 = 1

LCM(153,1961) = ( 153 × 1961 ) / 1

LCM(153,1961) = 300033 / 1

LCM(153,1961) = 300033


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 5222/153, 8101/1961

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 5222/153, 8101/1961?

Answer: GCF of Numerators as per given numbers 5222/153, 8101/1961 is

GCF of Numerators i.e. for 5222,8101 is 1

LCM of denominators i.e. for 153,1961 is 300033.

Thus, GCF of Fractions is 1/300033.Finally, GCF of Fractions for 5222/153, 8101/1961 is 1/300033.