Greatest Common Factor of 60/20, 831/61, 827/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/20, 831/61, 827/211

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 60/20,831/61,827/211

Given fractions are 60/20,831/61,827/211

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 60,831,827

Greatest Common Factor of Numerators i.e. GCF of 60,831,827 is 1 .

LCM of Denominators means LCM of 20,61,211 as per the given fractions.

LCM of 20,61,211 is 257420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,831,827

GCF of Fractions 60/20,831/61,827/211 is 1/257420

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

Greatest Common Factor of 60,831,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,831,827 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 60,831,827 . The biggest common factor number is the GCF number.
So the greatest common factor 60,831,827 is 1.

Lets's calculate LCM of 20,61,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 257420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257420

Therefore, the GCF of Fractions 60/20,831/61,827/211 is 1/257420

Least Common Multiple of 20,61,211 with GCF Formula

Least Common Multiple of 20,61,211 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 20,61,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,61,211) = 1

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

GCF(20,61,211) x common factors =1 x 1 = 1

LCM(20,61,211) = ( 20 × 61 × 211 ) / 1

LCM(20,61,211) = 257420 / 1

LCM(20,61,211) = 257420


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 60/20, 831/61, 827/211

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 60/20, 831/61, 827/211?

Answer: GCF of Numerators as per given numbers 60/20, 831/61, 827/211 is

GCF of Numerators i.e. for 60,831,827 is 1

LCM of denominators i.e. for 20,61,211 is 257420.

Thus, GCF of Fractions is 1/257420.Finally, GCF of Fractions for 60/20, 831/61, 827/211 is 1/257420.