Greatest Common Factor of 3638/99, 6016/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3638/99, 6016/304

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 3638/99,6016/304

Given fractions are 3638/99,6016/304

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 3638,6016

Greatest Common Factor of Numerators i.e. GCF of 3638,6016 is 2 .

LCM of Denominators means LCM of 99,304 as per the given fractions.

LCM of 99,304 is 30096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3638,6016

GCF of Fractions 3638/99,6016/304 is 2/30096

2 3638, 6016
1819, 3008

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3638,6016 By Matching Biggest Common Factor Method

Greatest Common Factor of 3638,6016 By Matching Biggest Common Factor Method

Factors of 3638

List of positive integer factors of 3638 that divides 3638 without a remainder.

1,2,17,34,107,214,1819,3638

Factors of 6016

List of positive integer factors of 6016 that divides 6016 without a remainder.

1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016

Greatest Common Factor

We found the factors 3638,6016 . The biggest common factor number is the GCF number.
So the greatest common factor 3638,6016 is 2.

Lets's calculate LCM of 99,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 30096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30096

Therefore, the GCF of Fractions 3638/99,6016/304 is 2/30096

Least Common Multiple of 99,304 with GCF Formula

Least Common Multiple of 99,304 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 99,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,304) = 1

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

GCF(99,304) x common factors =1 x 1 = 1

LCM(99,304) = ( 99 × 304 ) / 1

LCM(99,304) = 30096 / 1

LCM(99,304) = 30096


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 3638/99, 6016/304

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 3638/99, 6016/304?

Answer: GCF of Numerators as per given numbers 3638/99, 6016/304 is

GCF of Numerators i.e. for 3638,6016 is 2

LCM of denominators i.e. for 99,304 is 30096.

Thus, GCF of Fractions is 2/30096.Finally, GCF of Fractions for 3638/99, 6016/304 is 2/30096.