Greatest Common Factor of 603/54, 341/22, 644/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 603/54, 341/22, 644/405

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 603/54,341/22,644/405

Given fractions are 603/54,341/22,644/405

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 603,341,644

Greatest Common Factor of Numerators i.e. GCF of 603,341,644 is 1 .

LCM of Denominators means LCM of 54,22,405 as per the given fractions.

LCM of 54,22,405 is 8910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 603,341,644

GCF of Fractions 603/54,341/22,644/405 is 1/8910

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

Greatest Common Factor of 603,341,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,341,644 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 603,341,644 . The biggest common factor number is the GCF number.
So the greatest common factor 603,341,644 is 1.

Lets's calculate LCM of 54,22,405

2 54, 22, 405
3 27, 11, 405
3 9, 11, 135
3 3, 11, 45
1, 11, 15

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 11 x 15 = 8910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8910

Therefore, the GCF of Fractions 603/54,341/22,644/405 is 1/8910

Least Common Multiple of 54,22,405 with GCF Formula

Least Common Multiple of 54,22,405 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 54,22,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,22,405) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(54,22,405) x common factors =1 x 54 = 54

LCM(54,22,405) = ( 54 × 22 × 405 ) / 54

LCM(54,22,405) = 481140 / 54

LCM(54,22,405) = 8910


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 603/54, 341/22, 644/405

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 603/54, 341/22, 644/405?

Answer: GCF of Numerators as per given numbers 603/54, 341/22, 644/405 is

GCF of Numerators i.e. for 603,341,644 is 1

LCM of denominators i.e. for 54,22,405 is 8910.

Thus, GCF of Fractions is 1/8910.Finally, GCF of Fractions for 603/54, 341/22, 644/405 is 1/8910.