Greatest Common Factor of 42/764, 189/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/764, 189/543

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 42/764,189/543

Given fractions are 42/764,189/543

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 42,189

Greatest Common Factor of Numerators i.e. GCF of 42,189 is 21 .

LCM of Denominators means LCM of 764,543 as per the given fractions.

LCM of 764,543 is 414852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,189

GCF of Fractions 42/764,189/543 is 21/414852

3 42, 189
7 14, 63
2, 9

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 42,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,189 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 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 42,189 . The biggest common factor number is the GCF number.
So the greatest common factor 42,189 is 21.

Lets's calculate LCM of 764,543

Given numbers has no common factors except 1. So, there LCM is their product i.e 414852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/414852

Therefore, the GCF of Fractions 42/764,189/543 is 21/414852

Least Common Multiple of 764,543 with GCF Formula

Least Common Multiple of 764,543 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 764,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,543) = 1

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

GCF(764,543) x common factors =1 x 1 = 1

LCM(764,543) = ( 764 × 543 ) / 1

LCM(764,543) = 414852 / 1

LCM(764,543) = 414852


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 42/764, 189/543

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 42/764, 189/543?

Answer: GCF of Numerators as per given numbers 42/764, 189/543 is

GCF of Numerators i.e. for 42,189 is 21

LCM of denominators i.e. for 764,543 is 414852.

Thus, GCF of Fractions is 21/414852.Finally, GCF of Fractions for 42/764, 189/543 is 21/414852.