Greatest Common Factor of 7082/36, 5335/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7082/36, 5335/493

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 7082/36,5335/493

Given fractions are 7082/36,5335/493

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 7082,5335

Greatest Common Factor of Numerators i.e. GCF of 7082,5335 is 1 .

LCM of Denominators means LCM of 36,493 as per the given fractions.

LCM of 36,493 is 17748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7082,5335

GCF of Fractions 7082/36,5335/493 is 1/17748

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

Greatest Common Factor of 7082,5335 By Matching Biggest Common Factor Method

Greatest Common Factor of 7082,5335 By Matching Biggest Common Factor Method

Factors of 7082

List of positive integer factors of 7082 that divides 7082 without a remainder.

1,2,3541,7082

Factors of 5335

List of positive integer factors of 5335 that divides 5335 without a remainder.

1,5,11,55,97,485,1067,5335

Greatest Common Factor

We found the factors 7082,5335 . The biggest common factor number is the GCF number.
So the greatest common factor 7082,5335 is 1.

Lets's calculate LCM of 36,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 17748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17748

Therefore, the GCF of Fractions 7082/36,5335/493 is 1/17748

Least Common Multiple of 36,493 with GCF Formula

Least Common Multiple of 36,493 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 36,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,493) = 1

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

GCF(36,493) x common factors =1 x 1 = 1

LCM(36,493) = ( 36 × 493 ) / 1

LCM(36,493) = 17748 / 1

LCM(36,493) = 17748


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 7082/36, 5335/493

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 7082/36, 5335/493?

Answer: GCF of Numerators as per given numbers 7082/36, 5335/493 is

GCF of Numerators i.e. for 7082,5335 is 1

LCM of denominators i.e. for 36,493 is 17748.

Thus, GCF of Fractions is 1/17748.Finally, GCF of Fractions for 7082/36, 5335/493 is 1/17748.