Greatest Common Factor of 125/51, 933/71, 793/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/51, 933/71, 793/41

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 125/51,933/71,793/41

Given fractions are 125/51,933/71,793/41

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 125,933,793

Greatest Common Factor of Numerators i.e. GCF of 125,933,793 is 1 .

LCM of Denominators means LCM of 51,71,41 as per the given fractions.

LCM of 51,71,41 is 148461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,933,793

GCF of Fractions 125/51,933/71,793/41 is 1/148461

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

Greatest Common Factor of 125,933,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,933,793 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 125,933,793 . The biggest common factor number is the GCF number.
So the greatest common factor 125,933,793 is 1.

Lets's calculate LCM of 51,71,41

Given numbers has no common factors except 1. So, there LCM is their product i.e 148461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148461

Therefore, the GCF of Fractions 125/51,933/71,793/41 is 1/148461

Least Common Multiple of 51,71,41 with GCF Formula

Least Common Multiple of 51,71,41 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 51,71,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,71,41) = 1

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

GCF(51,71,41) x common factors =1 x 1 = 1

LCM(51,71,41) = ( 51 × 71 × 41 ) / 1

LCM(51,71,41) = 148461 / 1

LCM(51,71,41) = 148461


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 125/51, 933/71, 793/41

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 125/51, 933/71, 793/41?

Answer: GCF of Numerators as per given numbers 125/51, 933/71, 793/41 is

GCF of Numerators i.e. for 125,933,793 is 1

LCM of denominators i.e. for 51,71,41 is 148461.

Thus, GCF of Fractions is 1/148461.Finally, GCF of Fractions for 125/51, 933/71, 793/41 is 1/148461.