Greatest Common Factor of 3849/52, 8385/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3849/52, 8385/869

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 3849/52,8385/869

Given fractions are 3849/52,8385/869

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 3849,8385

Greatest Common Factor of Numerators i.e. GCF of 3849,8385 is 3 .

LCM of Denominators means LCM of 52,869 as per the given fractions.

LCM of 52,869 is 45188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3849,8385

GCF of Fractions 3849/52,8385/869 is 3/45188

3 3849, 8385
1283, 2795

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

Greatest Common Factor of 3849,8385 By Matching Biggest Common Factor Method

Greatest Common Factor of 3849,8385 By Matching Biggest Common Factor Method

Factors of 3849

List of positive integer factors of 3849 that divides 3849 without a remainder.

1,3,1283,3849

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

Greatest Common Factor

We found the factors 3849,8385 . The biggest common factor number is the GCF number.
So the greatest common factor 3849,8385 is 3.

Lets's calculate LCM of 52,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 45188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45188

Therefore, the GCF of Fractions 3849/52,8385/869 is 3/45188

Least Common Multiple of 52,869 with GCF Formula

Least Common Multiple of 52,869 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 52,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,869) = 1

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

GCF(52,869) x common factors =1 x 1 = 1

LCM(52,869) = ( 52 × 869 ) / 1

LCM(52,869) = 45188 / 1

LCM(52,869) = 45188


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 3849/52, 8385/869

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 3849/52, 8385/869?

Answer: GCF of Numerators as per given numbers 3849/52, 8385/869 is

GCF of Numerators i.e. for 3849,8385 is 3

LCM of denominators i.e. for 52,869 is 45188.

Thus, GCF of Fractions is 3/45188.Finally, GCF of Fractions for 3849/52, 8385/869 is 3/45188.