Greatest Common Factor of 310/291, 2101/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/291, 2101/216

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 310/291,2101/216

Given fractions are 310/291,2101/216

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 310,2101

Greatest Common Factor of Numerators i.e. GCF of 310,2101 is 1 .

LCM of Denominators means LCM of 291,216 as per the given fractions.

LCM of 291,216 is 20952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,2101

GCF of Fractions 310/291,2101/216 is 1/20952

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

Greatest Common Factor of 310,2101 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,2101 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 2101

List of positive integer factors of 2101 that divides 2101 without a remainder.

1,11,191,2101

Greatest Common Factor

We found the factors 310,2101 . The biggest common factor number is the GCF number.
So the greatest common factor 310,2101 is 1.

Lets's calculate LCM of 291,216

3 291, 216
97, 72

∴ So the LCM of the given numbers is 3 x 97 x 72 = 20952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20952

Therefore, the GCF of Fractions 310/291,2101/216 is 1/20952

Least Common Multiple of 291,216 with GCF Formula

Least Common Multiple of 291,216 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 291,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,216) = 3

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

GCF(291,216) x common factors =3 x 1 = 3

LCM(291,216) = ( 291 × 216 ) / 3

LCM(291,216) = 62856 / 3

LCM(291,216) = 20952


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 310/291, 2101/216

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 310/291, 2101/216?

Answer: GCF of Numerators as per given numbers 310/291, 2101/216 is

GCF of Numerators i.e. for 310,2101 is 1

LCM of denominators i.e. for 291,216 is 20952.

Thus, GCF of Fractions is 1/20952.Finally, GCF of Fractions for 310/291, 2101/216 is 1/20952.