Greatest Common Factor of 4407/792, 3575/8024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4407/792, 3575/8024

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 4407/792,3575/8024

Given fractions are 4407/792,3575/8024

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 4407,3575

Greatest Common Factor of Numerators i.e. GCF of 4407,3575 is 13 .

LCM of Denominators means LCM of 792,8024 as per the given fractions.

LCM of 792,8024 is 794376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4407,3575

GCF of Fractions 4407/792,3575/8024 is 13/794376

13 4407, 3575
339, 275

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4407,3575 By Matching Biggest Common Factor Method

Greatest Common Factor of 4407,3575 By Matching Biggest Common Factor Method

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1,3,13,39,113,339,1469,4407

Factors of 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1,5,11,13,25,55,65,143,275,325,715,3575

Greatest Common Factor

We found the factors 4407,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 4407,3575 is 13.

Lets's calculate LCM of 792,8024

2 792, 8024
2 396, 4012
2 198, 2006
99, 1003

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 1003 = 794376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/794376

Therefore, the GCF of Fractions 4407/792,3575/8024 is 13/794376

Least Common Multiple of 792,8024 with GCF Formula

Least Common Multiple of 792,8024 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 792,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,8024) = 8

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

GCF(792,8024) x common factors =8 x 1 = 8

LCM(792,8024) = ( 792 × 8024 ) / 8

LCM(792,8024) = 6355008 / 8

LCM(792,8024) = 794376


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 4407/792, 3575/8024

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 4407/792, 3575/8024?

Answer: GCF of Numerators as per given numbers 4407/792, 3575/8024 is

GCF of Numerators i.e. for 4407,3575 is 13

LCM of denominators i.e. for 792,8024 is 794376.

Thus, GCF of Fractions is 13/794376.Finally, GCF of Fractions for 4407/792, 3575/8024 is 13/794376.