GCD of 165, 273, 584, 916 Calculator

Given Input numbers are 165, 273, 584, 916

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 165, 273, 584, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 273, 584, 916 is 1.

Therefore, GCD of numbers 165, 273, 584, 916 is 1

Given Input Data is 165, 273, 584, 916

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 916 is 2 x 2 x 229

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(165, 273) = 15015

GCD(165, 273) = ( 165 x 273 ) / 15015

GCD(165, 273) = 45045 / 15015

GCD(165, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 584

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 584) = 1752

GCD(3, 584) = ( 3 x 584 ) / 1752

GCD(3, 584) = 1752 / 1752

GCD(3, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 165, 273, 584, 916 is 1

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1. What is the GCD of 165, 273, 584, 916?

GCD of 165, 273, 584, 916 is 1

2. Where do I get the detailed procedure to find GCD of 165, 273, 584, 916?

You can find a detailed procedure to find GCD of 165, 273, 584, 916 on our page.

3. How to find GCD of 165, 273, 584, 916 on a calculator?

You can find the GCD of 165, 273, 584, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.