Greatest Common Factor of 1367/301, 5165/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1367/301, 5165/912

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 1367/301,5165/912

Given fractions are 1367/301,5165/912

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 1367,5165

Greatest Common Factor of Numerators i.e. GCF of 1367,5165 is 1 .

LCM of Denominators means LCM of 301,912 as per the given fractions.

LCM of 301,912 is 274512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1367,5165

GCF of Fractions 1367/301,5165/912 is 1/274512

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

Greatest Common Factor of 1367,5165 By Matching Biggest Common Factor Method

Greatest Common Factor of 1367,5165 By Matching Biggest Common Factor Method

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1,1367

Factors of 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1,5,1033,5165

Greatest Common Factor

We found the factors 1367,5165 . The biggest common factor number is the GCF number.
So the greatest common factor 1367,5165 is 1.

Lets's calculate LCM of 301,912

Given numbers has no common factors except 1. So, there LCM is their product i.e 274512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274512

Therefore, the GCF of Fractions 1367/301,5165/912 is 1/274512

Least Common Multiple of 301,912 with GCF Formula

Least Common Multiple of 301,912 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 301,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,912) = 1

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

GCF(301,912) x common factors =1 x 1 = 1

LCM(301,912) = ( 301 × 912 ) / 1

LCM(301,912) = 274512 / 1

LCM(301,912) = 274512


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 1367/301, 5165/912

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 1367/301, 5165/912?

Answer: GCF of Numerators as per given numbers 1367/301, 5165/912 is

GCF of Numerators i.e. for 1367,5165 is 1

LCM of denominators i.e. for 301,912 is 274512.

Thus, GCF of Fractions is 1/274512.Finally, GCF of Fractions for 1367/301, 5165/912 is 1/274512.