GCD of 210, 642, 664, 171 Calculator

Given Input numbers are 210, 642, 664, 171

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 210, 642, 664, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 642, 664, 171 is 1.

Therefore, GCD of numbers 210, 642, 664, 171 is 1

Given Input Data is 210, 642, 664, 171

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 171 is 3 x 3 x 19

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(210, 642) = 22470

GCD(210, 642) = ( 210 x 642 ) / 22470

GCD(210, 642) = 134820 / 22470

GCD(210, 642) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 664

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

LCM(6, 664) = 1992

GCD(6, 664) = ( 6 x 664 ) / 1992

GCD(6, 664) = 3984 / 1992

GCD(6, 664) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

GCD of 210, 642, 664, 171 is 1

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1. What is the GCD of 210, 642, 664, 171?

GCD of 210, 642, 664, 171 is 1

2. Where do I get the detailed procedure to find GCD of 210, 642, 664, 171?

You can find a detailed procedure to find GCD of 210, 642, 664, 171 on our page.

3. How to find GCD of 210, 642, 664, 171 on a calculator?

You can find the GCD of 210, 642, 664, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.