Greatest Common Factor of 432/57, 450/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/57, 450/686

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 432/57,450/686

Given fractions are 432/57,450/686

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 432,450

Greatest Common Factor of Numerators i.e. GCF of 432,450 is 18 .

LCM of Denominators means LCM of 57,686 as per the given fractions.

LCM of 57,686 is 39102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,450

GCF of Fractions 432/57,450/686 is 18/39102

2 432, 450
3 216, 225
3 72, 75
24, 25

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 432,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,450 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 432,450 . The biggest common factor number is the GCF number.
So the greatest common factor 432,450 is 18.

Lets's calculate LCM of 57,686

Given numbers has no common factors except 1. So, there LCM is their product i.e 39102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/39102

Therefore, the GCF of Fractions 432/57,450/686 is 18/39102

Least Common Multiple of 57,686 with GCF Formula

Least Common Multiple of 57,686 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 57,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,686) = 1

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

GCF(57,686) x common factors =1 x 1 = 1

LCM(57,686) = ( 57 × 686 ) / 1

LCM(57,686) = 39102 / 1

LCM(57,686) = 39102


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 432/57, 450/686

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 432/57, 450/686?

Answer: GCF of Numerators as per given numbers 432/57, 450/686 is

GCF of Numerators i.e. for 432,450 is 18

LCM of denominators i.e. for 57,686 is 39102.

Thus, GCF of Fractions is 18/39102.Finally, GCF of Fractions for 432/57, 450/686 is 18/39102.