Greatest Common Factor of 39/565, 988/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/565, 988/365

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 39/565,988/365

Given fractions are 39/565,988/365

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 39,988

Greatest Common Factor of Numerators i.e. GCF of 39,988 is 13 .

LCM of Denominators means LCM of 565,365 as per the given fractions.

LCM of 565,365 is 41245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,988

GCF of Fractions 39/565,988/365 is 13/41245

13 39, 988
3, 76

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 39,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,988 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 39,988 . The biggest common factor number is the GCF number.
So the greatest common factor 39,988 is 13.

Lets's calculate LCM of 565,365

5 565, 365
113, 73

∴ So the LCM of the given numbers is 5 x 113 x 73 = 41245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/41245

Therefore, the GCF of Fractions 39/565,988/365 is 13/41245

Least Common Multiple of 565,365 with GCF Formula

Least Common Multiple of 565,365 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 565,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,365) = 5

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

GCF(565,365) x common factors =5 x 1 = 5

LCM(565,365) = ( 565 × 365 ) / 5

LCM(565,365) = 206225 / 5

LCM(565,365) = 41245


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 39/565, 988/365

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 39/565, 988/365?

Answer: GCF of Numerators as per given numbers 39/565, 988/365 is

GCF of Numerators i.e. for 39,988 is 13

LCM of denominators i.e. for 565,365 is 41245.

Thus, GCF of Fractions is 13/41245.Finally, GCF of Fractions for 39/565, 988/365 is 13/41245.