Greatest Common Factor of 432/423, 1254/1265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/423, 1254/1265

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 432/423,1254/1265

Given fractions are 432/423,1254/1265

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 432,1254

Greatest Common Factor of Numerators i.e. GCF of 432,1254 is 6 .

LCM of Denominators means LCM of 423,1265 as per the given fractions.

LCM of 423,1265 is 535095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,1254

GCF of Fractions 432/423,1254/1265 is 6/535095

2 432, 1254
3 216, 627
72, 209

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 432,1254 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,1254 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 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254

Greatest Common Factor

We found the factors 432,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 432,1254 is 6.

Lets's calculate LCM of 423,1265

Given numbers has no common factors except 1. So, there LCM is their product i.e 535095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/535095

Therefore, the GCF of Fractions 432/423,1254/1265 is 6/535095

Least Common Multiple of 423,1265 with GCF Formula

Least Common Multiple of 423,1265 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 423,1265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,1265) = 1

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

GCF(423,1265) x common factors =1 x 1 = 1

LCM(423,1265) = ( 423 × 1265 ) / 1

LCM(423,1265) = 535095 / 1

LCM(423,1265) = 535095


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 432/423, 1254/1265

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 432/423, 1254/1265?

Answer: GCF of Numerators as per given numbers 432/423, 1254/1265 is

GCF of Numerators i.e. for 432,1254 is 6

LCM of denominators i.e. for 423,1265 is 535095.

Thus, GCF of Fractions is 6/535095.Finally, GCF of Fractions for 432/423, 1254/1265 is 6/535095.