Greatest Common Factor of 9895/297, 6177/7440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9895/297, 6177/7440

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 9895/297,6177/7440

Given fractions are 9895/297,6177/7440

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 9895,6177

Greatest Common Factor of Numerators i.e. GCF of 9895,6177 is 1 .

LCM of Denominators means LCM of 297,7440 as per the given fractions.

LCM of 297,7440 is 736560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9895,6177

GCF of Fractions 9895/297,6177/7440 is 1/736560

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

Greatest Common Factor of 9895,6177 By Matching Biggest Common Factor Method

Greatest Common Factor of 9895,6177 By Matching Biggest Common Factor Method

Factors of 9895

List of positive integer factors of 9895 that divides 9895 without a remainder.

1,5,1979,9895

Factors of 6177

List of positive integer factors of 6177 that divides 6177 without a remainder.

1,3,29,71,87,213,2059,6177

Greatest Common Factor

We found the factors 9895,6177 . The biggest common factor number is the GCF number.
So the greatest common factor 9895,6177 is 1.

Lets's calculate LCM of 297,7440

3 297, 7440
99, 2480

∴ So the LCM of the given numbers is 3 x 99 x 2480 = 736560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736560

Therefore, the GCF of Fractions 9895/297,6177/7440 is 1/736560

Least Common Multiple of 297,7440 with GCF Formula

Least Common Multiple of 297,7440 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 297,7440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,7440) = 3

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

GCF(297,7440) x common factors =3 x 1 = 3

LCM(297,7440) = ( 297 × 7440 ) / 3

LCM(297,7440) = 2209680 / 3

LCM(297,7440) = 736560


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 9895/297, 6177/7440

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 9895/297, 6177/7440?

Answer: GCF of Numerators as per given numbers 9895/297, 6177/7440 is

GCF of Numerators i.e. for 9895,6177 is 1

LCM of denominators i.e. for 297,7440 is 736560.

Thus, GCF of Fractions is 1/736560.Finally, GCF of Fractions for 9895/297, 6177/7440 is 1/736560.