Greatest Common Factor of 351/787, 2442/9753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/787, 2442/9753

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 351/787,2442/9753

Given fractions are 351/787,2442/9753

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 351,2442

Greatest Common Factor of Numerators i.e. GCF of 351,2442 is 3 .

LCM of Denominators means LCM of 787,9753 as per the given fractions.

LCM of 787,9753 is 7675611 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,2442

GCF of Fractions 351/787,2442/9753 is 3/7675611

3 351, 2442
117, 814

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

Greatest Common Factor of 351,2442 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,2442 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442

Greatest Common Factor

We found the factors 351,2442 . The biggest common factor number is the GCF number.
So the greatest common factor 351,2442 is 3.

Lets's calculate LCM of 787,9753

Given numbers has no common factors except 1. So, there LCM is their product i.e 7675611

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7675611

Therefore, the GCF of Fractions 351/787,2442/9753 is 3/7675611

Least Common Multiple of 787,9753 with GCF Formula

Least Common Multiple of 787,9753 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 787,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,9753) = 1

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

GCF(787,9753) x common factors =1 x 1 = 1

LCM(787,9753) = ( 787 × 9753 ) / 1

LCM(787,9753) = 7675611 / 1

LCM(787,9753) = 7675611


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 351/787, 2442/9753

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 351/787, 2442/9753?

Answer: GCF of Numerators as per given numbers 351/787, 2442/9753 is

GCF of Numerators i.e. for 351,2442 is 3

LCM of denominators i.e. for 787,9753 is 7675611.

Thus, GCF of Fractions is 3/7675611.Finally, GCF of Fractions for 351/787, 2442/9753 is 3/7675611.