Greatest Common Factor of 27/217, 221/963, 920/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/217, 221/963, 920/930

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 27/217,221/963,920/930

Given fractions are 27/217,221/963,920/930

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 27,221,920

Greatest Common Factor of Numerators i.e. GCF of 27,221,920 is 1 .

LCM of Denominators means LCM of 217,963,930 as per the given fractions.

LCM of 217,963,930 is 2089710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,221,920

GCF of Fractions 27/217,221/963,920/930 is 1/2089710

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

Greatest Common Factor of 27,221,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,221,920 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 27,221,920 . The biggest common factor number is the GCF number.
So the greatest common factor 27,221,920 is 1.

Lets's calculate LCM of 217,963,930

3 217, 963, 930
31 217, 321, 310
7, 321, 10

∴ So the LCM of the given numbers is 3 x 31 x 7 x 321 x 10 = 2089710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2089710

Therefore, the GCF of Fractions 27/217,221/963,920/930 is 1/2089710

Least Common Multiple of 217,963,930 with GCF Formula

Least Common Multiple of 217,963,930 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 217,963,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,963,930) = 1

common factors(in case of two or more numbers have common factors) = 93

GCF(217,963,930) x common factors =1 x 93 = 93

LCM(217,963,930) = ( 217 × 963 × 930 ) / 93

LCM(217,963,930) = 194343030 / 93

LCM(217,963,930) = 2089710


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 27/217, 221/963, 920/930

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 27/217, 221/963, 920/930?

Answer: GCF of Numerators as per given numbers 27/217, 221/963, 920/930 is

GCF of Numerators i.e. for 27,221,920 is 1

LCM of denominators i.e. for 217,963,930 is 2089710.

Thus, GCF of Fractions is 1/2089710.Finally, GCF of Fractions for 27/217, 221/963, 920/930 is 1/2089710.