Greatest Common Factor of 3555/603, 8145/9446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3555/603, 8145/9446

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 3555/603,8145/9446

Given fractions are 3555/603,8145/9446

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 3555,8145

Greatest Common Factor of Numerators i.e. GCF of 3555,8145 is 45 .

LCM of Denominators means LCM of 603,9446 as per the given fractions.

LCM of 603,9446 is 5695938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3555,8145

GCF of Fractions 3555/603,8145/9446 is 45/5695938

3 3555, 8145
3 1185, 2715
5 395, 905
79, 181

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 3555,8145 By Matching Biggest Common Factor Method

Greatest Common Factor of 3555,8145 By Matching Biggest Common Factor Method

Factors of 3555

List of positive integer factors of 3555 that divides 3555 without a remainder.

1,3,5,9,15,45,79,237,395,711,1185,3555

Factors of 8145

List of positive integer factors of 8145 that divides 8145 without a remainder.

1,3,5,9,15,45,181,543,905,1629,2715,8145

Greatest Common Factor

We found the factors 3555,8145 . The biggest common factor number is the GCF number.
So the greatest common factor 3555,8145 is 45.

Lets's calculate LCM of 603,9446

Given numbers has no common factors except 1. So, there LCM is their product i.e 5695938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/5695938

Therefore, the GCF of Fractions 3555/603,8145/9446 is 45/5695938

Least Common Multiple of 603,9446 with GCF Formula

Least Common Multiple of 603,9446 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 603,9446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,9446) = 1

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

GCF(603,9446) x common factors =1 x 1 = 1

LCM(603,9446) = ( 603 × 9446 ) / 1

LCM(603,9446) = 5695938 / 1

LCM(603,9446) = 5695938


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 3555/603, 8145/9446

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 3555/603, 8145/9446?

Answer: GCF of Numerators as per given numbers 3555/603, 8145/9446 is

GCF of Numerators i.e. for 3555,8145 is 45

LCM of denominators i.e. for 603,9446 is 5695938.

Thus, GCF of Fractions is 45/5695938.Finally, GCF of Fractions for 3555/603, 8145/9446 is 45/5695938.