Greatest Common Factor of 4832/506, 5212/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4832/506, 5212/437

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 4832/506,5212/437

Given fractions are 4832/506,5212/437

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 4832,5212

Greatest Common Factor of Numerators i.e. GCF of 4832,5212 is 4 .

LCM of Denominators means LCM of 506,437 as per the given fractions.

LCM of 506,437 is 9614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4832,5212

GCF of Fractions 4832/506,5212/437 is 4/9614

2 4832, 5212
2 2416, 2606
1208, 1303

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4832,5212 By Matching Biggest Common Factor Method

Greatest Common Factor of 4832,5212 By Matching Biggest Common Factor Method

Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1,2,4,8,16,32,151,302,604,1208,2416,4832

Factors of 5212

List of positive integer factors of 5212 that divides 5212 without a remainder.

1,2,4,1303,2606,5212

Greatest Common Factor

We found the factors 4832,5212 . The biggest common factor number is the GCF number.
So the greatest common factor 4832,5212 is 4.

Lets's calculate LCM of 506,437

23 506, 437
22, 19

∴ So the LCM of the given numbers is 23 x 22 x 19 = 9614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9614

Therefore, the GCF of Fractions 4832/506,5212/437 is 4/9614

Least Common Multiple of 506,437 with GCF Formula

Least Common Multiple of 506,437 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 506,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,437) = 23

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

GCF(506,437) x common factors =23 x 1 = 23

LCM(506,437) = ( 506 × 437 ) / 23

LCM(506,437) = 221122 / 23

LCM(506,437) = 9614


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 4832/506, 5212/437

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 4832/506, 5212/437?

Answer: GCF of Numerators as per given numbers 4832/506, 5212/437 is

GCF of Numerators i.e. for 4832,5212 is 4

LCM of denominators i.e. for 506,437 is 9614.

Thus, GCF of Fractions is 4/9614.Finally, GCF of Fractions for 4832/506, 5212/437 is 4/9614.