GCD of 646, 570, 165, 374 Calculator

Given Input numbers are 646, 570, 165, 374

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 646, 570, 165, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 570, 165, 374 is 1.

Therefore, GCD of numbers 646, 570, 165, 374 is 1

Given Input Data is 646, 570, 165, 374

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 374 is 2 x 11 x 17

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(646, 570) = 9690

GCD(646, 570) = ( 646 x 570 ) / 9690

GCD(646, 570) = 368220 / 9690

GCD(646, 570) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 165

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

LCM(38, 165) = 6270

GCD(38, 165) = ( 38 x 165 ) / 6270

GCD(38, 165) = 6270 / 6270

GCD(38, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 646, 570, 165, 374 is 1

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1. What is the GCD of 646, 570, 165, 374?

GCD of 646, 570, 165, 374 is 1

2. Where do I get the detailed procedure to find GCD of 646, 570, 165, 374?

You can find a detailed procedure to find GCD of 646, 570, 165, 374 on our page.

3. How to find GCD of 646, 570, 165, 374 on a calculator?

You can find the GCD of 646, 570, 165, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.