Greatest Common Factor of 351/721, 9708/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/721, 9708/101

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 351/721,9708/101

Given fractions are 351/721,9708/101

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 351,9708

Greatest Common Factor of Numerators i.e. GCF of 351,9708 is 3 .

LCM of Denominators means LCM of 721,101 as per the given fractions.

LCM of 721,101 is 72821 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,9708

GCF of Fractions 351/721,9708/101 is 3/72821

3 351, 9708
117, 3236

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

Greatest Common Factor of 351,9708 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,9708 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 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1,2,3,4,6,12,809,1618,2427,3236,4854,9708

Greatest Common Factor

We found the factors 351,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 351,9708 is 3.

Lets's calculate LCM of 721,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 72821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/72821

Therefore, the GCF of Fractions 351/721,9708/101 is 3/72821

Least Common Multiple of 721,101 with GCF Formula

Least Common Multiple of 721,101 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 721,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,101) = 1

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

GCF(721,101) x common factors =1 x 1 = 1

LCM(721,101) = ( 721 × 101 ) / 1

LCM(721,101) = 72821 / 1

LCM(721,101) = 72821


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 351/721, 9708/101

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 351/721, 9708/101?

Answer: GCF of Numerators as per given numbers 351/721, 9708/101 is

GCF of Numerators i.e. for 351,9708 is 3

LCM of denominators i.e. for 721,101 is 72821.

Thus, GCF of Fractions is 3/72821.Finally, GCF of Fractions for 351/721, 9708/101 is 3/72821.