Greatest Common Factor of 6325/912, 4411/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6325/912, 4411/609

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 6325/912,4411/609

Given fractions are 6325/912,4411/609

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 6325,4411

Greatest Common Factor of Numerators i.e. GCF of 6325,4411 is 11 .

LCM of Denominators means LCM of 912,609 as per the given fractions.

LCM of 912,609 is 185136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6325,4411

GCF of Fractions 6325/912,4411/609 is 11/185136

11 6325, 4411
575, 401

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6325,4411 By Matching Biggest Common Factor Method

Greatest Common Factor of 6325,4411 By Matching Biggest Common Factor Method

Factors of 6325

List of positive integer factors of 6325 that divides 6325 without a remainder.

1,5,11,23,25,55,115,253,275,575,1265,6325

Factors of 4411

List of positive integer factors of 4411 that divides 4411 without a remainder.

1,11,401,4411

Greatest Common Factor

We found the factors 6325,4411 . The biggest common factor number is the GCF number.
So the greatest common factor 6325,4411 is 11.

Lets's calculate LCM of 912,609

3 912, 609
304, 203

∴ So the LCM of the given numbers is 3 x 304 x 203 = 185136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/185136

Therefore, the GCF of Fractions 6325/912,4411/609 is 11/185136

Least Common Multiple of 912,609 with GCF Formula

Least Common Multiple of 912,609 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 912,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,609) = 3

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

GCF(912,609) x common factors =3 x 1 = 3

LCM(912,609) = ( 912 × 609 ) / 3

LCM(912,609) = 555408 / 3

LCM(912,609) = 185136


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 6325/912, 4411/609

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 6325/912, 4411/609?

Answer: GCF of Numerators as per given numbers 6325/912, 4411/609 is

GCF of Numerators i.e. for 6325,4411 is 11

LCM of denominators i.e. for 912,609 is 185136.

Thus, GCF of Fractions is 11/185136.Finally, GCF of Fractions for 6325/912, 4411/609 is 11/185136.