Greatest Common Factor of 408/49, 213/5128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/49, 213/5128

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 408/49,213/5128

Given fractions are 408/49,213/5128

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 408,213

Greatest Common Factor of Numerators i.e. GCF of 408,213 is 3 .

LCM of Denominators means LCM of 49,5128 as per the given fractions.

LCM of 49,5128 is 251272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,213

GCF of Fractions 408/49,213/5128 is 3/251272

3 408, 213
136, 71

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

Greatest Common Factor of 408,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,213 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 408,213 . The biggest common factor number is the GCF number.
So the greatest common factor 408,213 is 3.

Lets's calculate LCM of 49,5128

Given numbers has no common factors except 1. So, there LCM is their product i.e 251272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/251272

Therefore, the GCF of Fractions 408/49,213/5128 is 3/251272

Least Common Multiple of 49,5128 with GCF Formula

Least Common Multiple of 49,5128 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 49,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,5128) = 1

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

GCF(49,5128) x common factors =1 x 1 = 1

LCM(49,5128) = ( 49 × 5128 ) / 1

LCM(49,5128) = 251272 / 1

LCM(49,5128) = 251272


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 408/49, 213/5128

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 408/49, 213/5128?

Answer: GCF of Numerators as per given numbers 408/49, 213/5128 is

GCF of Numerators i.e. for 408,213 is 3

LCM of denominators i.e. for 49,5128 is 251272.

Thus, GCF of Fractions is 3/251272.Finally, GCF of Fractions for 408/49, 213/5128 is 3/251272.