Greatest Common Factor of 7794/488, 9651/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7794/488, 9651/959

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 7794/488,9651/959

Given fractions are 7794/488,9651/959

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 7794,9651

Greatest Common Factor of Numerators i.e. GCF of 7794,9651 is 3 .

LCM of Denominators means LCM of 488,959 as per the given fractions.

LCM of 488,959 is 467992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7794,9651

GCF of Fractions 7794/488,9651/959 is 3/467992

3 7794, 9651
2598, 3217

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7794,9651 By Matching Biggest Common Factor Method

Greatest Common Factor of 7794,9651 By Matching Biggest Common Factor Method

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1,2,3,6,9,18,433,866,1299,2598,3897,7794

Factors of 9651

List of positive integer factors of 9651 that divides 9651 without a remainder.

1,3,3217,9651

Greatest Common Factor

We found the factors 7794,9651 . The biggest common factor number is the GCF number.
So the greatest common factor 7794,9651 is 3.

Lets's calculate LCM of 488,959

Given numbers has no common factors except 1. So, there LCM is their product i.e 467992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/467992

Therefore, the GCF of Fractions 7794/488,9651/959 is 3/467992

Least Common Multiple of 488,959 with GCF Formula

Least Common Multiple of 488,959 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 488,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,959) = 1

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

GCF(488,959) x common factors =1 x 1 = 1

LCM(488,959) = ( 488 × 959 ) / 1

LCM(488,959) = 467992 / 1

LCM(488,959) = 467992


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 7794/488, 9651/959

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 7794/488, 9651/959?

Answer: GCF of Numerators as per given numbers 7794/488, 9651/959 is

GCF of Numerators i.e. for 7794,9651 is 3

LCM of denominators i.e. for 488,959 is 467992.

Thus, GCF of Fractions is 3/467992.Finally, GCF of Fractions for 7794/488, 9651/959 is 3/467992.