Greatest Common Factor of 100/21, 345/75, 188/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/21, 345/75, 188/585

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 100/21,345/75,188/585

Given fractions are 100/21,345/75,188/585

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 100,345,188

Greatest Common Factor of Numerators i.e. GCF of 100,345,188 is 1 .

LCM of Denominators means LCM of 21,75,585 as per the given fractions.

LCM of 21,75,585 is 20475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,345,188

GCF of Fractions 100/21,345/75,188/585 is 1/20475

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

Greatest Common Factor of 100,345,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,345,188 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 100,345,188 . The biggest common factor number is the GCF number.
So the greatest common factor 100,345,188 is 1.

Lets's calculate LCM of 21,75,585

3 21, 75, 585
5 7, 25, 195
7, 5, 39

∴ So the LCM of the given numbers is 3 x 5 x 7 x 5 x 39 = 20475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20475

Therefore, the GCF of Fractions 100/21,345/75,188/585 is 1/20475

Least Common Multiple of 21,75,585 with GCF Formula

Least Common Multiple of 21,75,585 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 21,75,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,75,585) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(21,75,585) x common factors =3 x 15 = 45

LCM(21,75,585) = ( 21 × 75 × 585 ) / 45

LCM(21,75,585) = 921375 / 45

LCM(21,75,585) = 20475


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 100/21, 345/75, 188/585

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 100/21, 345/75, 188/585?

Answer: GCF of Numerators as per given numbers 100/21, 345/75, 188/585 is

GCF of Numerators i.e. for 100,345,188 is 1

LCM of denominators i.e. for 21,75,585 is 20475.

Thus, GCF of Fractions is 1/20475.Finally, GCF of Fractions for 100/21, 345/75, 188/585 is 1/20475.