Greatest Common Factor of 123/173, 124/105, 728/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/173, 124/105, 728/934

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 123/173,124/105,728/934

Given fractions are 123/173,124/105,728/934

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 123,124,728

Greatest Common Factor of Numerators i.e. GCF of 123,124,728 is 1 .

LCM of Denominators means LCM of 173,105,934 as per the given fractions.

LCM of 173,105,934 is 16966110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,124,728

GCF of Fractions 123/173,124/105,728/934 is 1/16966110

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

Greatest Common Factor of 123,124,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,124,728 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 124

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

1,2,4,31,62,124

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 123,124,728 . The biggest common factor number is the GCF number.
So the greatest common factor 123,124,728 is 1.

Lets's calculate LCM of 173,105,934

Given numbers has no common factors except 1. So, there LCM is their product i.e 16966110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16966110

Therefore, the GCF of Fractions 123/173,124/105,728/934 is 1/16966110

Least Common Multiple of 173,105,934 with GCF Formula

Least Common Multiple of 173,105,934 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 173,105,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,105,934) = 1

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

GCF(173,105,934) x common factors =1 x 1 = 1

LCM(173,105,934) = ( 173 × 105 × 934 ) / 1

LCM(173,105,934) = 16966110 / 1

LCM(173,105,934) = 16966110


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 123/173, 124/105, 728/934

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 123/173, 124/105, 728/934?

Answer: GCF of Numerators as per given numbers 123/173, 124/105, 728/934 is

GCF of Numerators i.e. for 123,124,728 is 1

LCM of denominators i.e. for 173,105,934 is 16966110.

Thus, GCF of Fractions is 1/16966110.Finally, GCF of Fractions for 123/173, 124/105, 728/934 is 1/16966110.