Greatest Common Factor of 42/75, 28/23, 121/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/75, 28/23, 121/205

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 42/75,28/23,121/205

Given fractions are 42/75,28/23,121/205

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 42,28,121

Greatest Common Factor of Numerators i.e. GCF of 42,28,121 is 1 .

LCM of Denominators means LCM of 75,23,205 as per the given fractions.

LCM of 75,23,205 is 70725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,28,121

GCF of Fractions 42/75,28/23,121/205 is 1/70725

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

Greatest Common Factor of 42,28,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,28,121 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 42,28,121 . The biggest common factor number is the GCF number.
So the greatest common factor 42,28,121 is 1.

Lets's calculate LCM of 75,23,205

5 75, 23, 205
15, 23, 41

∴ So the LCM of the given numbers is 5 x 15 x 23 x 41 = 70725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70725

Therefore, the GCF of Fractions 42/75,28/23,121/205 is 1/70725

Least Common Multiple of 75,23,205 with GCF Formula

Least Common Multiple of 75,23,205 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 75,23,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,23,205) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,23,205) x common factors =1 x 5 = 5

LCM(75,23,205) = ( 75 × 23 × 205 ) / 5

LCM(75,23,205) = 353625 / 5

LCM(75,23,205) = 70725


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 42/75, 28/23, 121/205

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 42/75, 28/23, 121/205?

Answer: GCF of Numerators as per given numbers 42/75, 28/23, 121/205 is

GCF of Numerators i.e. for 42,28,121 is 1

LCM of denominators i.e. for 75,23,205 is 70725.

Thus, GCF of Fractions is 1/70725.Finally, GCF of Fractions for 42/75, 28/23, 121/205 is 1/70725.