Greatest Common Factor of 3405/655, 3456/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3405/655, 3456/556

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 3405/655,3456/556

Given fractions are 3405/655,3456/556

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 3405,3456

Greatest Common Factor of Numerators i.e. GCF of 3405,3456 is 3 .

LCM of Denominators means LCM of 655,556 as per the given fractions.

LCM of 655,556 is 364180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3405,3456

GCF of Fractions 3405/655,3456/556 is 3/364180

3 3405, 3456
1135, 1152

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3405,3456 By Matching Biggest Common Factor Method

Greatest Common Factor of 3405,3456 By Matching Biggest Common Factor Method

Factors of 3405

List of positive integer factors of 3405 that divides 3405 without a remainder.

1,3,5,15,227,681,1135,3405

Factors of 3456

List of positive integer factors of 3456 that divides 3456 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456

Greatest Common Factor

We found the factors 3405,3456 . The biggest common factor number is the GCF number.
So the greatest common factor 3405,3456 is 3.

Lets's calculate LCM of 655,556

Given numbers has no common factors except 1. So, there LCM is their product i.e 364180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/364180

Therefore, the GCF of Fractions 3405/655,3456/556 is 3/364180

Least Common Multiple of 655,556 with GCF Formula

Least Common Multiple of 655,556 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 655,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,556) = 1

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

GCF(655,556) x common factors =1 x 1 = 1

LCM(655,556) = ( 655 × 556 ) / 1

LCM(655,556) = 364180 / 1

LCM(655,556) = 364180


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 3405/655, 3456/556

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 3405/655, 3456/556?

Answer: GCF of Numerators as per given numbers 3405/655, 3456/556 is

GCF of Numerators i.e. for 3405,3456 is 3

LCM of denominators i.e. for 655,556 is 364180.

Thus, GCF of Fractions is 3/364180.Finally, GCF of Fractions for 3405/655, 3456/556 is 3/364180.