Greatest Common Factor of 432/754, 8289/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/754, 8289/508

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 432/754,8289/508

Given fractions are 432/754,8289/508

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 432,8289

Greatest Common Factor of Numerators i.e. GCF of 432,8289 is 27 .

LCM of Denominators means LCM of 754,508 as per the given fractions.

LCM of 754,508 is 191516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,8289

GCF of Fractions 432/754,8289/508 is 27/191516

3 432, 8289
3 144, 2763
3 48, 921
16, 307

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 432,8289 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,8289 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 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1,3,9,27,307,921,2763,8289

Greatest Common Factor

We found the factors 432,8289 . The biggest common factor number is the GCF number.
So the greatest common factor 432,8289 is 27.

Lets's calculate LCM of 754,508

2 754, 508
377, 254

∴ So the LCM of the given numbers is 2 x 377 x 254 = 191516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/191516

Therefore, the GCF of Fractions 432/754,8289/508 is 27/191516

Least Common Multiple of 754,508 with GCF Formula

Least Common Multiple of 754,508 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 754,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,508) = 2

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

GCF(754,508) x common factors =2 x 1 = 2

LCM(754,508) = ( 754 × 508 ) / 2

LCM(754,508) = 383032 / 2

LCM(754,508) = 191516


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 432/754, 8289/508

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 432/754, 8289/508?

Answer: GCF of Numerators as per given numbers 432/754, 8289/508 is

GCF of Numerators i.e. for 432,8289 is 27

LCM of denominators i.e. for 754,508 is 191516.

Thus, GCF of Fractions is 27/191516.Finally, GCF of Fractions for 432/754, 8289/508 is 27/191516.