Greatest Common Factor of 4742/486, 7432/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4742/486, 7432/189

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 4742/486,7432/189

Given fractions are 4742/486,7432/189

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 4742,7432

Greatest Common Factor of Numerators i.e. GCF of 4742,7432 is 2 .

LCM of Denominators means LCM of 486,189 as per the given fractions.

LCM of 486,189 is 3402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4742,7432

GCF of Fractions 4742/486,7432/189 is 2/3402

2 4742, 7432
2371, 3716

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4742,7432 By Matching Biggest Common Factor Method

Greatest Common Factor of 4742,7432 By Matching Biggest Common Factor Method

Factors of 4742

List of positive integer factors of 4742 that divides 4742 without a remainder.

1,2,2371,4742

Factors of 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1,2,4,8,929,1858,3716,7432

Greatest Common Factor

We found the factors 4742,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 4742,7432 is 2.

Lets's calculate LCM of 486,189

3 486, 189
3 162, 63
3 54, 21
18, 7

∴ So the LCM of the given numbers is 3 x 3 x 3 x 18 x 7 = 3402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3402

Therefore, the GCF of Fractions 4742/486,7432/189 is 2/3402

Least Common Multiple of 486,189 with GCF Formula

Least Common Multiple of 486,189 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 486,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,189) = 27

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

GCF(486,189) x common factors =27 x 1 = 27

LCM(486,189) = ( 486 × 189 ) / 27

LCM(486,189) = 91854 / 27

LCM(486,189) = 3402


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 4742/486, 7432/189

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 4742/486, 7432/189?

Answer: GCF of Numerators as per given numbers 4742/486, 7432/189 is

GCF of Numerators i.e. for 4742,7432 is 2

LCM of denominators i.e. for 486,189 is 3402.

Thus, GCF of Fractions is 2/3402.Finally, GCF of Fractions for 4742/486, 7432/189 is 2/3402.