Greatest Common Factor of 4042/217, 8886/3936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4042/217, 8886/3936

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 4042/217,8886/3936

Given fractions are 4042/217,8886/3936

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 4042,8886

Greatest Common Factor of Numerators i.e. GCF of 4042,8886 is 2 .

LCM of Denominators means LCM of 217,3936 as per the given fractions.

LCM of 217,3936 is 854112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4042,8886

GCF of Fractions 4042/217,8886/3936 is 2/854112

2 4042, 8886
2021, 4443

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

Greatest Common Factor of 4042,8886 By Matching Biggest Common Factor Method

Greatest Common Factor of 4042,8886 By Matching Biggest Common Factor Method

Factors of 4042

List of positive integer factors of 4042 that divides 4042 without a remainder.

1,2,43,47,86,94,2021,4042

Factors of 8886

List of positive integer factors of 8886 that divides 8886 without a remainder.

1,2,3,6,1481,2962,4443,8886

Greatest Common Factor

We found the factors 4042,8886 . The biggest common factor number is the GCF number.
So the greatest common factor 4042,8886 is 2.

Lets's calculate LCM of 217,3936

Given numbers has no common factors except 1. So, there LCM is their product i.e 854112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/854112

Therefore, the GCF of Fractions 4042/217,8886/3936 is 2/854112

Least Common Multiple of 217,3936 with GCF Formula

Least Common Multiple of 217,3936 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 217,3936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,3936) = 1

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

GCF(217,3936) x common factors =1 x 1 = 1

LCM(217,3936) = ( 217 × 3936 ) / 1

LCM(217,3936) = 854112 / 1

LCM(217,3936) = 854112


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 4042/217, 8886/3936

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 4042/217, 8886/3936?

Answer: GCF of Numerators as per given numbers 4042/217, 8886/3936 is

GCF of Numerators i.e. for 4042,8886 is 2

LCM of denominators i.e. for 217,3936 is 854112.

Thus, GCF of Fractions is 2/854112.Finally, GCF of Fractions for 4042/217, 8886/3936 is 2/854112.