Greatest Common Factor of 111/600, 106/514, 375/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 111/600, 106/514, 375/723

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 111/600,106/514,375/723

Given fractions are 111/600,106/514,375/723

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 111,106,375

Greatest Common Factor of Numerators i.e. GCF of 111,106,375 is 1 .

LCM of Denominators means LCM of 600,514,723 as per the given fractions.

LCM of 600,514,723 is 37162200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 111,106,375

GCF of Fractions 111/600,106/514,375/723 is 1/37162200

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

Greatest Common Factor of 111,106,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,106,375 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 106

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

1,2,53,106

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 111,106,375 . The biggest common factor number is the GCF number.
So the greatest common factor 111,106,375 is 1.

Lets's calculate LCM of 600,514,723

2 600, 514, 723
3 300, 257, 723
100, 257, 241

∴ So the LCM of the given numbers is 2 x 3 x 100 x 257 x 241 = 37162200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37162200

Therefore, the GCF of Fractions 111/600,106/514,375/723 is 1/37162200

Least Common Multiple of 600,514,723 with GCF Formula

Least Common Multiple of 600,514,723 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 600,514,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,514,723) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(600,514,723) x common factors =1 x 6 = 6

LCM(600,514,723) = ( 600 × 514 × 723 ) / 6

LCM(600,514,723) = 222973200 / 6

LCM(600,514,723) = 37162200


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 111/600, 106/514, 375/723

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 111/600, 106/514, 375/723?

Answer: GCF of Numerators as per given numbers 111/600, 106/514, 375/723 is

GCF of Numerators i.e. for 111,106,375 is 1

LCM of denominators i.e. for 600,514,723 is 37162200.

Thus, GCF of Fractions is 1/37162200.Finally, GCF of Fractions for 111/600, 106/514, 375/723 is 1/37162200.