Greatest Common Factor of 1379/21, 8650/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1379/21, 8650/801

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 1379/21,8650/801

Given fractions are 1379/21,8650/801

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 1379,8650

Greatest Common Factor of Numerators i.e. GCF of 1379,8650 is 1 .

LCM of Denominators means LCM of 21,801 as per the given fractions.

LCM of 21,801 is 5607 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1379,8650

GCF of Fractions 1379/21,8650/801 is 1/5607

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

Greatest Common Factor of 1379,8650 By Matching Biggest Common Factor Method

Greatest Common Factor of 1379,8650 By Matching Biggest Common Factor Method

Factors of 1379

List of positive integer factors of 1379 that divides 1379 without a remainder.

1,7,197,1379

Factors of 8650

List of positive integer factors of 8650 that divides 8650 without a remainder.

1,2,5,10,25,50,173,346,865,1730,4325,8650

Greatest Common Factor

We found the factors 1379,8650 . The biggest common factor number is the GCF number.
So the greatest common factor 1379,8650 is 1.

Lets's calculate LCM of 21,801

3 21, 801
7, 267

∴ So the LCM of the given numbers is 3 x 7 x 267 = 5607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5607

Therefore, the GCF of Fractions 1379/21,8650/801 is 1/5607

Least Common Multiple of 21,801 with GCF Formula

Least Common Multiple of 21,801 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 21,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,801) = 3

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

GCF(21,801) x common factors =3 x 1 = 3

LCM(21,801) = ( 21 × 801 ) / 3

LCM(21,801) = 16821 / 3

LCM(21,801) = 5607


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 1379/21, 8650/801

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 1379/21, 8650/801?

Answer: GCF of Numerators as per given numbers 1379/21, 8650/801 is

GCF of Numerators i.e. for 1379,8650 is 1

LCM of denominators i.e. for 21,801 is 5607.

Thus, GCF of Fractions is 1/5607.Finally, GCF of Fractions for 1379/21, 8650/801 is 1/5607.