Greatest Common Factor of 30/427, 20/774, 211/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/427, 20/774, 211/968

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 30/427,20/774,211/968

Given fractions are 30/427,20/774,211/968

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 30,20,211

Greatest Common Factor of Numerators i.e. GCF of 30,20,211 is 1 .

LCM of Denominators means LCM of 427,774,968 as per the given fractions.

LCM of 427,774,968 is 159961032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,20,211

GCF of Fractions 30/427,20/774,211/968 is 1/159961032

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

Greatest Common Factor of 30,20,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,20,211 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 30,20,211 . The biggest common factor number is the GCF number.
So the greatest common factor 30,20,211 is 1.

Lets's calculate LCM of 427,774,968

2 427, 774, 968
427, 387, 484

∴ So the LCM of the given numbers is 2 x 427 x 387 x 484 = 159961032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159961032

Therefore, the GCF of Fractions 30/427,20/774,211/968 is 1/159961032

Least Common Multiple of 427,774,968 with GCF Formula

Least Common Multiple of 427,774,968 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 427,774,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,774,968) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(427,774,968) x common factors =1 x 2 = 2

LCM(427,774,968) = ( 427 × 774 × 968 ) / 2

LCM(427,774,968) = 319922064 / 2

LCM(427,774,968) = 159961032


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 30/427, 20/774, 211/968

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 30/427, 20/774, 211/968?

Answer: GCF of Numerators as per given numbers 30/427, 20/774, 211/968 is

GCF of Numerators i.e. for 30,20,211 is 1

LCM of denominators i.e. for 427,774,968 is 159961032.

Thus, GCF of Fractions is 1/159961032.Finally, GCF of Fractions for 30/427, 20/774, 211/968 is 1/159961032.