Greatest Common Factor of 8101/618, 9025/3741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8101/618, 9025/3741

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 8101/618,9025/3741

Given fractions are 8101/618,9025/3741

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 8101,9025

Greatest Common Factor of Numerators i.e. GCF of 8101,9025 is 1 .

LCM of Denominators means LCM of 618,3741 as per the given fractions.

LCM of 618,3741 is 770646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8101,9025

GCF of Fractions 8101/618,9025/3741 is 1/770646

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

Greatest Common Factor of 8101,9025 By Matching Biggest Common Factor Method

Greatest Common Factor of 8101,9025 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 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1,5,19,25,95,361,475,1805,9025

Greatest Common Factor

We found the factors 8101,9025 . The biggest common factor number is the GCF number.
So the greatest common factor 8101,9025 is 1.

Lets's calculate LCM of 618,3741

3 618, 3741
206, 1247

∴ So the LCM of the given numbers is 3 x 206 x 1247 = 770646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/770646

Therefore, the GCF of Fractions 8101/618,9025/3741 is 1/770646

Least Common Multiple of 618,3741 with GCF Formula

Least Common Multiple of 618,3741 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 618,3741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,3741) = 3

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

GCF(618,3741) x common factors =3 x 1 = 3

LCM(618,3741) = ( 618 × 3741 ) / 3

LCM(618,3741) = 2311938 / 3

LCM(618,3741) = 770646


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 8101/618, 9025/3741

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 8101/618, 9025/3741?

Answer: GCF of Numerators as per given numbers 8101/618, 9025/3741 is

GCF of Numerators i.e. for 8101,9025 is 1

LCM of denominators i.e. for 618,3741 is 770646.

Thus, GCF of Fractions is 1/770646.Finally, GCF of Fractions for 8101/618, 9025/3741 is 1/770646.