Greatest Common Factor of 3995/443, 9160/7616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3995/443, 9160/7616

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 3995/443,9160/7616

Given fractions are 3995/443,9160/7616

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 3995,9160

Greatest Common Factor of Numerators i.e. GCF of 3995,9160 is 5 .

LCM of Denominators means LCM of 443,7616 as per the given fractions.

LCM of 443,7616 is 3373888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3995,9160

GCF of Fractions 3995/443,9160/7616 is 5/3373888

5 3995, 9160
799, 1832

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3995,9160 By Matching Biggest Common Factor Method

Greatest Common Factor of 3995,9160 By Matching Biggest Common Factor Method

Factors of 3995

List of positive integer factors of 3995 that divides 3995 without a remainder.

1,5,17,47,85,235,799,3995

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160

Greatest Common Factor

We found the factors 3995,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 3995,9160 is 5.

Lets's calculate LCM of 443,7616

Given numbers has no common factors except 1. So, there LCM is their product i.e 3373888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3373888

Therefore, the GCF of Fractions 3995/443,9160/7616 is 5/3373888

Least Common Multiple of 443,7616 with GCF Formula

Least Common Multiple of 443,7616 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 443,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,7616) = 1

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

GCF(443,7616) x common factors =1 x 1 = 1

LCM(443,7616) = ( 443 × 7616 ) / 1

LCM(443,7616) = 3373888 / 1

LCM(443,7616) = 3373888


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 3995/443, 9160/7616

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 3995/443, 9160/7616?

Answer: GCF of Numerators as per given numbers 3995/443, 9160/7616 is

GCF of Numerators i.e. for 3995,9160 is 5

LCM of denominators i.e. for 443,7616 is 3373888.

Thus, GCF of Fractions is 5/3373888.Finally, GCF of Fractions for 3995/443, 9160/7616 is 5/3373888.