Greatest Common Factor of 1380/87, 2351/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1380/87, 2351/321

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 1380/87,2351/321

Given fractions are 1380/87,2351/321

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 1380,2351

Greatest Common Factor of Numerators i.e. GCF of 1380,2351 is 1 .

LCM of Denominators means LCM of 87,321 as per the given fractions.

LCM of 87,321 is 9309 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1380,2351

GCF of Fractions 1380/87,2351/321 is 1/9309

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

Greatest Common Factor of 1380,2351 By Matching Biggest Common Factor Method

Greatest Common Factor of 1380,2351 By Matching Biggest Common Factor Method

Factors of 1380

List of positive integer factors of 1380 that divides 1380 without a remainder.

1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380

Factors of 2351

List of positive integer factors of 2351 that divides 2351 without a remainder.

1,2351

Greatest Common Factor

We found the factors 1380,2351 . The biggest common factor number is the GCF number.
So the greatest common factor 1380,2351 is 1.

Lets's calculate LCM of 87,321

3 87, 321
29, 107

∴ So the LCM of the given numbers is 3 x 29 x 107 = 9309

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9309

Therefore, the GCF of Fractions 1380/87,2351/321 is 1/9309

Least Common Multiple of 87,321 with GCF Formula

Least Common Multiple of 87,321 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 87,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,321) = 3

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

GCF(87,321) x common factors =3 x 1 = 3

LCM(87,321) = ( 87 × 321 ) / 3

LCM(87,321) = 27927 / 3

LCM(87,321) = 9309


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 1380/87, 2351/321

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 1380/87, 2351/321?

Answer: GCF of Numerators as per given numbers 1380/87, 2351/321 is

GCF of Numerators i.e. for 1380,2351 is 1

LCM of denominators i.e. for 87,321 is 9309.

Thus, GCF of Fractions is 1/9309.Finally, GCF of Fractions for 1380/87, 2351/321 is 1/9309.