Greatest Common Factor of 3879/347, 8838/9693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3879/347, 8838/9693

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 3879/347,8838/9693

Given fractions are 3879/347,8838/9693

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 3879,8838

Greatest Common Factor of Numerators i.e. GCF of 3879,8838 is 9 .

LCM of Denominators means LCM of 347,9693 as per the given fractions.

LCM of 347,9693 is 3363471 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3879,8838

GCF of Fractions 3879/347,8838/9693 is 9/3363471

3 3879, 8838
3 1293, 2946
431, 982

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3879,8838 By Matching Biggest Common Factor Method

Greatest Common Factor of 3879,8838 By Matching Biggest Common Factor Method

Factors of 3879

List of positive integer factors of 3879 that divides 3879 without a remainder.

1,3,9,431,1293,3879

Factors of 8838

List of positive integer factors of 8838 that divides 8838 without a remainder.

1,2,3,6,9,18,491,982,1473,2946,4419,8838

Greatest Common Factor

We found the factors 3879,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 3879,8838 is 9.

Lets's calculate LCM of 347,9693

Given numbers has no common factors except 1. So, there LCM is their product i.e 3363471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3363471

Therefore, the GCF of Fractions 3879/347,8838/9693 is 9/3363471

Least Common Multiple of 347,9693 with GCF Formula

Least Common Multiple of 347,9693 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 347,9693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,9693) = 1

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

GCF(347,9693) x common factors =1 x 1 = 1

LCM(347,9693) = ( 347 × 9693 ) / 1

LCM(347,9693) = 3363471 / 1

LCM(347,9693) = 3363471


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 3879/347, 8838/9693

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 3879/347, 8838/9693?

Answer: GCF of Numerators as per given numbers 3879/347, 8838/9693 is

GCF of Numerators i.e. for 3879,8838 is 9

LCM of denominators i.e. for 347,9693 is 3363471.

Thus, GCF of Fractions is 9/3363471.Finally, GCF of Fractions for 3879/347, 8838/9693 is 9/3363471.