Greatest Common Factor of 3693/498, 6565/5306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3693/498, 6565/5306

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 3693/498,6565/5306

Given fractions are 3693/498,6565/5306

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 3693,6565

Greatest Common Factor of Numerators i.e. GCF of 3693,6565 is 1 .

LCM of Denominators means LCM of 498,5306 as per the given fractions.

LCM of 498,5306 is 1321194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3693,6565

GCF of Fractions 3693/498,6565/5306 is 1/1321194

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

Greatest Common Factor of 3693,6565 By Matching Biggest Common Factor Method

Greatest Common Factor of 3693,6565 By Matching Biggest Common Factor Method

Factors of 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1,3,1231,3693

Factors of 6565

List of positive integer factors of 6565 that divides 6565 without a remainder.

1,5,13,65,101,505,1313,6565

Greatest Common Factor

We found the factors 3693,6565 . The biggest common factor number is the GCF number.
So the greatest common factor 3693,6565 is 1.

Lets's calculate LCM of 498,5306

2 498, 5306
249, 2653

∴ So the LCM of the given numbers is 2 x 249 x 2653 = 1321194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1321194

Therefore, the GCF of Fractions 3693/498,6565/5306 is 1/1321194

Least Common Multiple of 498,5306 with GCF Formula

Least Common Multiple of 498,5306 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 498,5306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,5306) = 2

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

GCF(498,5306) x common factors =2 x 1 = 2

LCM(498,5306) = ( 498 × 5306 ) / 2

LCM(498,5306) = 2642388 / 2

LCM(498,5306) = 1321194


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 3693/498, 6565/5306

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 3693/498, 6565/5306?

Answer: GCF of Numerators as per given numbers 3693/498, 6565/5306 is

GCF of Numerators i.e. for 3693,6565 is 1

LCM of denominators i.e. for 498,5306 is 1321194.

Thus, GCF of Fractions is 1/1321194.Finally, GCF of Fractions for 3693/498, 6565/5306 is 1/1321194.