Greatest Common Factor of 2816/95, 3651/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2816/95, 3651/137

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 2816/95,3651/137

Given fractions are 2816/95,3651/137

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 2816,3651

Greatest Common Factor of Numerators i.e. GCF of 2816,3651 is 1 .

LCM of Denominators means LCM of 95,137 as per the given fractions.

LCM of 95,137 is 13015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2816,3651

GCF of Fractions 2816/95,3651/137 is 1/13015

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

Greatest Common Factor of 2816,3651 By Matching Biggest Common Factor Method

Greatest Common Factor of 2816,3651 By Matching Biggest Common Factor Method

Factors of 2816

List of positive integer factors of 2816 that divides 2816 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1,3,1217,3651

Greatest Common Factor

We found the factors 2816,3651 . The biggest common factor number is the GCF number.
So the greatest common factor 2816,3651 is 1.

Lets's calculate LCM of 95,137

Given numbers has no common factors except 1. So, there LCM is their product i.e 13015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13015

Therefore, the GCF of Fractions 2816/95,3651/137 is 1/13015

Least Common Multiple of 95,137 with GCF Formula

Least Common Multiple of 95,137 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 95,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,137) = 1

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

GCF(95,137) x common factors =1 x 1 = 1

LCM(95,137) = ( 95 × 137 ) / 1

LCM(95,137) = 13015 / 1

LCM(95,137) = 13015


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 2816/95, 3651/137

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 2816/95, 3651/137?

Answer: GCF of Numerators as per given numbers 2816/95, 3651/137 is

GCF of Numerators i.e. for 2816,3651 is 1

LCM of denominators i.e. for 95,137 is 13015.

Thus, GCF of Fractions is 1/13015.Finally, GCF of Fractions for 2816/95, 3651/137 is 1/13015.