Greatest Common Factor of 8101/424, 4201/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8101/424, 4201/154

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 8101/424,4201/154

Given fractions are 8101/424,4201/154

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 8101,4201

Greatest Common Factor of Numerators i.e. GCF of 8101,4201 is 1 .

LCM of Denominators means LCM of 424,154 as per the given fractions.

LCM of 424,154 is 32648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8101,4201

GCF of Fractions 8101/424,4201/154 is 1/32648

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

Greatest Common Factor of 8101,4201 By Matching Biggest Common Factor Method

Greatest Common Factor of 8101,4201 By Matching Biggest Common Factor Method

Factors of 8101

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

1,8101

Factors of 4201

List of positive integer factors of 4201 that divides 4201 without a remainder.

1,4201

Greatest Common Factor

We found the factors 8101,4201 . The biggest common factor number is the GCF number.
So the greatest common factor 8101,4201 is 1.

Lets's calculate LCM of 424,154

2 424, 154
212, 77

∴ So the LCM of the given numbers is 2 x 212 x 77 = 32648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32648

Therefore, the GCF of Fractions 8101/424,4201/154 is 1/32648

Least Common Multiple of 424,154 with GCF Formula

Least Common Multiple of 424,154 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 424,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,154) = 2

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

GCF(424,154) x common factors =2 x 1 = 2

LCM(424,154) = ( 424 × 154 ) / 2

LCM(424,154) = 65296 / 2

LCM(424,154) = 32648


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 8101/424, 4201/154

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 8101/424, 4201/154?

Answer: GCF of Numerators as per given numbers 8101/424, 4201/154 is

GCF of Numerators i.e. for 8101,4201 is 1

LCM of denominators i.e. for 424,154 is 32648.

Thus, GCF of Fractions is 1/32648.Finally, GCF of Fractions for 8101/424, 4201/154 is 1/32648.