Greatest Common Factor of 1279/60, 5400/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1279/60, 5400/201

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 1279/60,5400/201

Given fractions are 1279/60,5400/201

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 1279,5400

Greatest Common Factor of Numerators i.e. GCF of 1279,5400 is 1 .

LCM of Denominators means LCM of 60,201 as per the given fractions.

LCM of 60,201 is 4020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1279,5400

GCF of Fractions 1279/60,5400/201 is 1/4020

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

Greatest Common Factor of 1279,5400 By Matching Biggest Common Factor Method

Greatest Common Factor of 1279,5400 By Matching Biggest Common Factor Method

Factors of 1279

List of positive integer factors of 1279 that divides 1279 without a remainder.

1,1279

Factors of 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400

Greatest Common Factor

We found the factors 1279,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 1279,5400 is 1.

Lets's calculate LCM of 60,201

3 60, 201
20, 67

∴ So the LCM of the given numbers is 3 x 20 x 67 = 4020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4020

Therefore, the GCF of Fractions 1279/60,5400/201 is 1/4020

Least Common Multiple of 60,201 with GCF Formula

Least Common Multiple of 60,201 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 60,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,201) = 3

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

GCF(60,201) x common factors =3 x 1 = 3

LCM(60,201) = ( 60 × 201 ) / 3

LCM(60,201) = 12060 / 3

LCM(60,201) = 4020


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 1279/60, 5400/201

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 1279/60, 5400/201?

Answer: GCF of Numerators as per given numbers 1279/60, 5400/201 is

GCF of Numerators i.e. for 1279,5400 is 1

LCM of denominators i.e. for 60,201 is 4020.

Thus, GCF of Fractions is 1/4020.Finally, GCF of Fractions for 1279/60, 5400/201 is 1/4020.