Greatest Common Factor of 105/6304, 381/1613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 105/6304, 381/1613

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 105/6304,381/1613

Given fractions are 105/6304,381/1613

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 105,381

Greatest Common Factor of Numerators i.e. GCF of 105,381 is 3 .

LCM of Denominators means LCM of 6304,1613 as per the given fractions.

LCM of 6304,1613 is 10168352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 105,381

GCF of Fractions 105/6304,381/1613 is 3/10168352

3 105, 381
35, 127

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

Greatest Common Factor of 105,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,381 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 105,381 . The biggest common factor number is the GCF number.
So the greatest common factor 105,381 is 3.

Lets's calculate LCM of 6304,1613

Given numbers has no common factors except 1. So, there LCM is their product i.e 10168352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10168352

Therefore, the GCF of Fractions 105/6304,381/1613 is 3/10168352

Least Common Multiple of 6304,1613 with GCF Formula

Least Common Multiple of 6304,1613 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 6304,1613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6304,1613) = 1

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

GCF(6304,1613) x common factors =1 x 1 = 1

LCM(6304,1613) = ( 6304 × 1613 ) / 1

LCM(6304,1613) = 10168352 / 1

LCM(6304,1613) = 10168352


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 105/6304, 381/1613

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 105/6304, 381/1613?

Answer: GCF of Numerators as per given numbers 105/6304, 381/1613 is

GCF of Numerators i.e. for 105,381 is 3

LCM of denominators i.e. for 6304,1613 is 10168352.

Thus, GCF of Fractions is 3/10168352.Finally, GCF of Fractions for 105/6304, 381/1613 is 3/10168352.