Greatest Common Factor of 2151/645, 3371/5296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2151/645, 3371/5296

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 2151/645,3371/5296

Given fractions are 2151/645,3371/5296

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 2151,3371

Greatest Common Factor of Numerators i.e. GCF of 2151,3371 is 1 .

LCM of Denominators means LCM of 645,5296 as per the given fractions.

LCM of 645,5296 is 3415920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2151,3371

GCF of Fractions 2151/645,3371/5296 is 1/3415920

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

Greatest Common Factor of 2151,3371 By Matching Biggest Common Factor Method

Greatest Common Factor of 2151,3371 By Matching Biggest Common Factor Method

Factors of 2151

List of positive integer factors of 2151 that divides 2151 without a remainder.

1,3,9,239,717,2151

Factors of 3371

List of positive integer factors of 3371 that divides 3371 without a remainder.

1,3371

Greatest Common Factor

We found the factors 2151,3371 . The biggest common factor number is the GCF number.
So the greatest common factor 2151,3371 is 1.

Lets's calculate LCM of 645,5296

Given numbers has no common factors except 1. So, there LCM is their product i.e 3415920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3415920

Therefore, the GCF of Fractions 2151/645,3371/5296 is 1/3415920

Least Common Multiple of 645,5296 with GCF Formula

Least Common Multiple of 645,5296 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 645,5296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,5296) = 1

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

GCF(645,5296) x common factors =1 x 1 = 1

LCM(645,5296) = ( 645 × 5296 ) / 1

LCM(645,5296) = 3415920 / 1

LCM(645,5296) = 3415920


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 2151/645, 3371/5296

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 2151/645, 3371/5296?

Answer: GCF of Numerators as per given numbers 2151/645, 3371/5296 is

GCF of Numerators i.e. for 2151,3371 is 1

LCM of denominators i.e. for 645,5296 is 3415920.

Thus, GCF of Fractions is 1/3415920.Finally, GCF of Fractions for 2151/645, 3371/5296 is 1/3415920.