Greatest Common Factor of 432/484, 1246/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/484, 1246/563

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 432/484,1246/563

Given fractions are 432/484,1246/563

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 432,1246

Greatest Common Factor of Numerators i.e. GCF of 432,1246 is 2 .

LCM of Denominators means LCM of 484,563 as per the given fractions.

LCM of 484,563 is 272492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,1246

GCF of Fractions 432/484,1246/563 is 2/272492

2 432, 1246
216, 623

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

Greatest Common Factor of 432,1246 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,1246 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 1246

List of positive integer factors of 1246 that divides 1246 without a remainder.

1,2,7,14,89,178,623,1246

Greatest Common Factor

We found the factors 432,1246 . The biggest common factor number is the GCF number.
So the greatest common factor 432,1246 is 2.

Lets's calculate LCM of 484,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 272492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/272492

Therefore, the GCF of Fractions 432/484,1246/563 is 2/272492

Least Common Multiple of 484,563 with GCF Formula

Least Common Multiple of 484,563 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 484,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,563) = 1

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

GCF(484,563) x common factors =1 x 1 = 1

LCM(484,563) = ( 484 × 563 ) / 1

LCM(484,563) = 272492 / 1

LCM(484,563) = 272492


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 432/484, 1246/563

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 432/484, 1246/563?

Answer: GCF of Numerators as per given numbers 432/484, 1246/563 is

GCF of Numerators i.e. for 432,1246 is 2

LCM of denominators i.e. for 484,563 is 272492.

Thus, GCF of Fractions is 2/272492.Finally, GCF of Fractions for 432/484, 1246/563 is 2/272492.