Greatest Common Factor of 28/187, 73/357, 106/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/187, 73/357, 106/112

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 28/187,73/357,106/112

Given fractions are 28/187,73/357,106/112

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 28,73,106

Greatest Common Factor of Numerators i.e. GCF of 28,73,106 is 1 .

LCM of Denominators means LCM of 187,357,112 as per the given fractions.

LCM of 187,357,112 is 62832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,73,106

GCF of Fractions 28/187,73/357,106/112 is 1/62832

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

Greatest Common Factor of 28,73,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,73,106 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 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 28,73,106 . The biggest common factor number is the GCF number.
So the greatest common factor 28,73,106 is 1.

Lets's calculate LCM of 187,357,112

7 187, 357, 112
17 187, 51, 16
11, 3, 16

∴ So the LCM of the given numbers is 7 x 17 x 11 x 3 x 16 = 62832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62832

Therefore, the GCF of Fractions 28/187,73/357,106/112 is 1/62832

Least Common Multiple of 187,357,112 with GCF Formula

Least Common Multiple of 187,357,112 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 187,357,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,357,112) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(187,357,112) x common factors =1 x 119 = 119

LCM(187,357,112) = ( 187 × 357 × 112 ) / 119

LCM(187,357,112) = 7477008 / 119

LCM(187,357,112) = 62832


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 28/187, 73/357, 106/112

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 28/187, 73/357, 106/112?

Answer: GCF of Numerators as per given numbers 28/187, 73/357, 106/112 is

GCF of Numerators i.e. for 28,73,106 is 1

LCM of denominators i.e. for 187,357,112 is 62832.

Thus, GCF of Fractions is 1/62832.Finally, GCF of Fractions for 28/187, 73/357, 106/112 is 1/62832.