Greatest Common Factor of 432/167, 4744/8304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/167, 4744/8304

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 432/167,4744/8304

Given fractions are 432/167,4744/8304

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 432,4744

Greatest Common Factor of Numerators i.e. GCF of 432,4744 is 8 .

LCM of Denominators means LCM of 167,8304 as per the given fractions.

LCM of 167,8304 is 1386768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,4744

GCF of Fractions 432/167,4744/8304 is 8/1386768

2 432, 4744
2 216, 2372
2 108, 1186
54, 593

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 432,4744 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,4744 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 4744

List of positive integer factors of 4744 that divides 4744 without a remainder.

1,2,4,8,593,1186,2372,4744

Greatest Common Factor

We found the factors 432,4744 . The biggest common factor number is the GCF number.
So the greatest common factor 432,4744 is 8.

Lets's calculate LCM of 167,8304

Given numbers has no common factors except 1. So, there LCM is their product i.e 1386768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1386768

Therefore, the GCF of Fractions 432/167,4744/8304 is 8/1386768

Least Common Multiple of 167,8304 with GCF Formula

Least Common Multiple of 167,8304 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 167,8304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,8304) = 1

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

GCF(167,8304) x common factors =1 x 1 = 1

LCM(167,8304) = ( 167 × 8304 ) / 1

LCM(167,8304) = 1386768 / 1

LCM(167,8304) = 1386768


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 432/167, 4744/8304

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 432/167, 4744/8304?

Answer: GCF of Numerators as per given numbers 432/167, 4744/8304 is

GCF of Numerators i.e. for 432,4744 is 8

LCM of denominators i.e. for 167,8304 is 1386768.

Thus, GCF of Fractions is 8/1386768.Finally, GCF of Fractions for 432/167, 4744/8304 is 8/1386768.