Greatest Common Factor of 9441/715, 9868/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9441/715, 9868/963

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 9441/715,9868/963

Given fractions are 9441/715,9868/963

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 9441,9868

Greatest Common Factor of Numerators i.e. GCF of 9441,9868 is 1 .

LCM of Denominators means LCM of 715,963 as per the given fractions.

LCM of 715,963 is 688545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9441,9868

GCF of Fractions 9441/715,9868/963 is 1/688545

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

Greatest Common Factor of 9441,9868 By Matching Biggest Common Factor Method

Greatest Common Factor of 9441,9868 By Matching Biggest Common Factor Method

Factors of 9441

List of positive integer factors of 9441 that divides 9441 without a remainder.

1,3,9,1049,3147,9441

Factors of 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1,2,4,2467,4934,9868

Greatest Common Factor

We found the factors 9441,9868 . The biggest common factor number is the GCF number.
So the greatest common factor 9441,9868 is 1.

Lets's calculate LCM of 715,963

Given numbers has no common factors except 1. So, there LCM is their product i.e 688545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/688545

Therefore, the GCF of Fractions 9441/715,9868/963 is 1/688545

Least Common Multiple of 715,963 with GCF Formula

Least Common Multiple of 715,963 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 715,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,963) = 1

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

GCF(715,963) x common factors =1 x 1 = 1

LCM(715,963) = ( 715 × 963 ) / 1

LCM(715,963) = 688545 / 1

LCM(715,963) = 688545


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 9441/715, 9868/963

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 9441/715, 9868/963?

Answer: GCF of Numerators as per given numbers 9441/715, 9868/963 is

GCF of Numerators i.e. for 9441,9868 is 1

LCM of denominators i.e. for 715,963 is 688545.

Thus, GCF of Fractions is 1/688545.Finally, GCF of Fractions for 9441/715, 9868/963 is 1/688545.