Greatest Common Factor of 367/21, 538/4042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 367/21, 538/4042

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 367/21,538/4042

Given fractions are 367/21,538/4042

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 367,538

Greatest Common Factor of Numerators i.e. GCF of 367,538 is 1 .

LCM of Denominators means LCM of 21,4042 as per the given fractions.

LCM of 21,4042 is 84882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 367,538

GCF of Fractions 367/21,538/4042 is 1/84882

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 367,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,538 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 367,538 . The biggest common factor number is the GCF number.
So the greatest common factor 367,538 is 1.

Lets's calculate LCM of 21,4042

Given numbers has no common factors except 1. So, there LCM is their product i.e 84882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84882

Therefore, the GCF of Fractions 367/21,538/4042 is 1/84882

Least Common Multiple of 21,4042 with GCF Formula

Least Common Multiple of 21,4042 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 21,4042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,4042) = 1

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

GCF(21,4042) x common factors =1 x 1 = 1

LCM(21,4042) = ( 21 × 4042 ) / 1

LCM(21,4042) = 84882 / 1

LCM(21,4042) = 84882


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 367/21, 538/4042

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 367/21, 538/4042?

Answer: GCF of Numerators as per given numbers 367/21, 538/4042 is

GCF of Numerators i.e. for 367,538 is 1

LCM of denominators i.e. for 21,4042 is 84882.

Thus, GCF of Fractions is 1/84882.Finally, GCF of Fractions for 367/21, 538/4042 is 1/84882.