Greatest Common Factor of 605/17, 999/55, 405/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/17, 999/55, 405/84

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 605/17,999/55,405/84

Given fractions are 605/17,999/55,405/84

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 605,999,405

Greatest Common Factor of Numerators i.e. GCF of 605,999,405 is 1 .

LCM of Denominators means LCM of 17,55,84 as per the given fractions.

LCM of 17,55,84 is 78540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,999,405

GCF of Fractions 605/17,999/55,405/84 is 1/78540

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

Greatest Common Factor of 605,999,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,999,405 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 605,999,405 . The biggest common factor number is the GCF number.
So the greatest common factor 605,999,405 is 1.

Lets's calculate LCM of 17,55,84

Given numbers has no common factors except 1. So, there LCM is their product i.e 78540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78540

Therefore, the GCF of Fractions 605/17,999/55,405/84 is 1/78540

Least Common Multiple of 17,55,84 with GCF Formula

Least Common Multiple of 17,55,84 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 17,55,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,55,84) = 1

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

GCF(17,55,84) x common factors =1 x 1 = 1

LCM(17,55,84) = ( 17 × 55 × 84 ) / 1

LCM(17,55,84) = 78540 / 1

LCM(17,55,84) = 78540


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 605/17, 999/55, 405/84

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 605/17, 999/55, 405/84?

Answer: GCF of Numerators as per given numbers 605/17, 999/55, 405/84 is

GCF of Numerators i.e. for 605,999,405 is 1

LCM of denominators i.e. for 17,55,84 is 78540.

Thus, GCF of Fractions is 1/78540.Finally, GCF of Fractions for 605/17, 999/55, 405/84 is 1/78540.