Greatest Common Factor of 8422/395, 5036/1512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8422/395, 5036/1512

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 8422/395,5036/1512

Given fractions are 8422/395,5036/1512

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 8422,5036

Greatest Common Factor of Numerators i.e. GCF of 8422,5036 is 2 .

LCM of Denominators means LCM of 395,1512 as per the given fractions.

LCM of 395,1512 is 597240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8422,5036

GCF of Fractions 8422/395,5036/1512 is 2/597240

2 8422, 5036
4211, 2518

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

Greatest Common Factor of 8422,5036 By Matching Biggest Common Factor Method

Greatest Common Factor of 8422,5036 By Matching Biggest Common Factor Method

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1,2,4211,8422

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1,2,4,1259,2518,5036

Greatest Common Factor

We found the factors 8422,5036 . The biggest common factor number is the GCF number.
So the greatest common factor 8422,5036 is 2.

Lets's calculate LCM of 395,1512

Given numbers has no common factors except 1. So, there LCM is their product i.e 597240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/597240

Therefore, the GCF of Fractions 8422/395,5036/1512 is 2/597240

Least Common Multiple of 395,1512 with GCF Formula

Least Common Multiple of 395,1512 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 395,1512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,1512) = 1

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

GCF(395,1512) x common factors =1 x 1 = 1

LCM(395,1512) = ( 395 × 1512 ) / 1

LCM(395,1512) = 597240 / 1

LCM(395,1512) = 597240


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 8422/395, 5036/1512

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 8422/395, 5036/1512?

Answer: GCF of Numerators as per given numbers 8422/395, 5036/1512 is

GCF of Numerators i.e. for 8422,5036 is 2

LCM of denominators i.e. for 395,1512 is 597240.

Thus, GCF of Fractions is 2/597240.Finally, GCF of Fractions for 8422/395, 5036/1512 is 2/597240.