Greatest Common Factor of 8385/31, 3729/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8385/31, 3729/799

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 8385/31,3729/799

Given fractions are 8385/31,3729/799

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 8385,3729

Greatest Common Factor of Numerators i.e. GCF of 8385,3729 is 3 .

LCM of Denominators means LCM of 31,799 as per the given fractions.

LCM of 31,799 is 24769 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8385,3729

GCF of Fractions 8385/31,3729/799 is 3/24769

3 8385, 3729
2795, 1243

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8385,3729 By Matching Biggest Common Factor Method

Greatest Common Factor of 8385,3729 By Matching Biggest Common Factor Method

Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385

Factors of 3729

List of positive integer factors of 3729 that divides 3729 without a remainder.

1,3,11,33,113,339,1243,3729

Greatest Common Factor

We found the factors 8385,3729 . The biggest common factor number is the GCF number.
So the greatest common factor 8385,3729 is 3.

Lets's calculate LCM of 31,799

Given numbers has no common factors except 1. So, there LCM is their product i.e 24769

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24769

Therefore, the GCF of Fractions 8385/31,3729/799 is 3/24769

Least Common Multiple of 31,799 with GCF Formula

Least Common Multiple of 31,799 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 31,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,799) = 1

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

GCF(31,799) x common factors =1 x 1 = 1

LCM(31,799) = ( 31 × 799 ) / 1

LCM(31,799) = 24769 / 1

LCM(31,799) = 24769


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 8385/31, 3729/799

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 8385/31, 3729/799?

Answer: GCF of Numerators as per given numbers 8385/31, 3729/799 is

GCF of Numerators i.e. for 8385,3729 is 3

LCM of denominators i.e. for 31,799 is 24769.

Thus, GCF of Fractions is 3/24769.Finally, GCF of Fractions for 8385/31, 3729/799 is 3/24769.