Greatest Common Factor of 212/971, 974/479, 633/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/971, 974/479, 633/477

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 212/971,974/479,633/477

Given fractions are 212/971,974/479,633/477

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 212,974,633

Greatest Common Factor of Numerators i.e. GCF of 212,974,633 is 1 .

LCM of Denominators means LCM of 971,479,477 as per the given fractions.

LCM of 971,479,477 is 221856993 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,974,633

GCF of Fractions 212/971,974/479,633/477 is 1/221856993

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

Greatest Common Factor of 212,974,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,974,633 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 212,974,633 . The biggest common factor number is the GCF number.
So the greatest common factor 212,974,633 is 1.

Lets's calculate LCM of 971,479,477

Given numbers has no common factors except 1. So, there LCM is their product i.e 221856993

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221856993

Therefore, the GCF of Fractions 212/971,974/479,633/477 is 1/221856993

Least Common Multiple of 971,479,477 with GCF Formula

Least Common Multiple of 971,479,477 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 971,479,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,479,477) = 1

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

GCF(971,479,477) x common factors =1 x 1 = 1

LCM(971,479,477) = ( 971 × 479 × 477 ) / 1

LCM(971,479,477) = 221856993 / 1

LCM(971,479,477) = 221856993


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 212/971, 974/479, 633/477

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 212/971, 974/479, 633/477?

Answer: GCF of Numerators as per given numbers 212/971, 974/479, 633/477 is

GCF of Numerators i.e. for 212,974,633 is 1

LCM of denominators i.e. for 971,479,477 is 221856993.

Thus, GCF of Fractions is 1/221856993.Finally, GCF of Fractions for 212/971, 974/479, 633/477 is 1/221856993.