Greatest Common Factor of 28/20, 54/743, 163/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/20, 54/743, 163/222

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 28/20,54/743,163/222

Given fractions are 28/20,54/743,163/222

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 28,54,163

Greatest Common Factor of Numerators i.e. GCF of 28,54,163 is 1 .

LCM of Denominators means LCM of 20,743,222 as per the given fractions.

LCM of 20,743,222 is 1649460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,54,163

GCF of Fractions 28/20,54/743,163/222 is 1/1649460

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

Greatest Common Factor of 28,54,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,54,163 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 28,54,163 . The biggest common factor number is the GCF number.
So the greatest common factor 28,54,163 is 1.

Lets's calculate LCM of 20,743,222

2 20, 743, 222
10, 743, 111

∴ So the LCM of the given numbers is 2 x 10 x 743 x 111 = 1649460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1649460

Therefore, the GCF of Fractions 28/20,54/743,163/222 is 1/1649460

Least Common Multiple of 20,743,222 with GCF Formula

Least Common Multiple of 20,743,222 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 20,743,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,743,222) = 1

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

GCF(20,743,222) x common factors =1 x 2 = 2

LCM(20,743,222) = ( 20 × 743 × 222 ) / 2

LCM(20,743,222) = 3298920 / 2

LCM(20,743,222) = 1649460


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 28/20, 54/743, 163/222

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 28/20, 54/743, 163/222?

Answer: GCF of Numerators as per given numbers 28/20, 54/743, 163/222 is

GCF of Numerators i.e. for 28,54,163 is 1

LCM of denominators i.e. for 20,743,222 is 1649460.

Thus, GCF of Fractions is 1/1649460.Finally, GCF of Fractions for 28/20, 54/743, 163/222 is 1/1649460.