GCD of 274, 162, 585, 673 Calculator

Given Input numbers are 274, 162, 585, 673

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Greatest Common Divisior

We found the divisors of 274, 162, 585, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 162, 585, 673 is 1.

Therefore, GCD of numbers 274, 162, 585, 673 is 1

Given Input Data is 274, 162, 585, 673

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 673 is 673

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(274, 162) = 22194

GCD(274, 162) = ( 274 x 162 ) / 22194

GCD(274, 162) = 44388 / 22194

GCD(274, 162) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 673

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

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

GCD(1, 673) = 673 / 673

GCD(1, 673) = 1

GCD of 274, 162, 585, 673 is 1

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1. What is the GCD of 274, 162, 585, 673?

GCD of 274, 162, 585, 673 is 1

2. Where do I get the detailed procedure to find GCD of 274, 162, 585, 673?

You can find a detailed procedure to find GCD of 274, 162, 585, 673 on our page.

3. How to find GCD of 274, 162, 585, 673 on a calculator?

You can find the GCD of 274, 162, 585, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.