Greatest Common Factor of 404/717, 9965/5552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 404/717, 9965/5552

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 404/717,9965/5552

Given fractions are 404/717,9965/5552

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 404,9965

Greatest Common Factor of Numerators i.e. GCF of 404,9965 is 1 .

LCM of Denominators means LCM of 717,5552 as per the given fractions.

LCM of 717,5552 is 3980784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 404,9965

GCF of Fractions 404/717,9965/5552 is 1/3980784

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 404,9965 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,9965 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 9965

List of positive integer factors of 9965 that divides 9965 without a remainder.

1,5,1993,9965

Greatest Common Factor

We found the factors 404,9965 . The biggest common factor number is the GCF number.
So the greatest common factor 404,9965 is 1.


Lets's calculate LCM of 717,5552

Given numbers has no common factors except 1. So, there LCM is their product i.e 3980784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3980784

Therefore, the GCF of Fractions 404/717,9965/5552 is 1/3980784

Least Common Multiple of 717,5552 with GCF Formula

Least Common Multiple of 717,5552 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 717,5552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,5552) = 1

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

GCF(717,5552) x common factors =1 x 1 = 1

LCM(717,5552) = ( 717 × 5552 ) / 1

LCM(717,5552) = 3980784 / 1

LCM(717,5552) = 3980784


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 404/717, 9965/5552

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 404/717, 9965/5552?

Answer: GCF of Numerators as per given numbers 404/717, 9965/5552 is

GCF of Numerators i.e. for 404,9965 is 1

LCM of denominators i.e. for 717,5552 is 3980784.

Thus, GCF of Fractions is 1/3980784.Finally, GCF of Fractions for 404/717, 9965/5552 is 1/3980784.