Greatest Common Factor of 28/983, 138/211, 124/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/983, 138/211, 124/171

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 28/983,138/211,124/171

Given fractions are 28/983,138/211,124/171

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 28,138,124

Greatest Common Factor of Numerators i.e. GCF of 28,138,124 is 2 .

LCM of Denominators means LCM of 983,211,171 as per the given fractions.

LCM of 983,211,171 is 35467623 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,138,124

GCF of Fractions 28/983,138/211,124/171 is 2/35467623

2 28, 138, 124
14, 69, 62

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 28,138,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,138,124 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 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 28,138,124 . The biggest common factor number is the GCF number.
So the greatest common factor 28,138,124 is 2.

Lets's calculate LCM of 983,211,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 35467623

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35467623

Therefore, the GCF of Fractions 28/983,138/211,124/171 is 2/35467623

Least Common Multiple of 983,211,171 with GCF Formula

Least Common Multiple of 983,211,171 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 983,211,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,211,171) = 1

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

GCF(983,211,171) x common factors =1 x 1 = 1

LCM(983,211,171) = ( 983 × 211 × 171 ) / 1

LCM(983,211,171) = 35467623 / 1

LCM(983,211,171) = 35467623


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 28/983, 138/211, 124/171

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 28/983, 138/211, 124/171?

Answer: GCF of Numerators as per given numbers 28/983, 138/211, 124/171 is

GCF of Numerators i.e. for 28,138,124 is 2

LCM of denominators i.e. for 983,211,171 is 35467623.

Thus, GCF of Fractions is 2/35467623.Finally, GCF of Fractions for 28/983, 138/211, 124/171 is 2/35467623.