GCD of 359, 897, 610, 164 Calculator

Given Input numbers are 359, 897, 610, 164

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 359, 897, 610, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 897, 610, 164 is 1.

Therefore, GCD of numbers 359, 897, 610, 164 is 1

Given Input Data is 359, 897, 610, 164

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

Prime Factorization of 359 is 359

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 164 is 2 x 2 x 41

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(359, 897) = 322023

GCD(359, 897) = ( 359 x 897 ) / 322023

GCD(359, 897) = 322023 / 322023

GCD(359, 897) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 359, 897, 610, 164 is 1

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1. What is the GCD of 359, 897, 610, 164?

GCD of 359, 897, 610, 164 is 1

2. Where do I get the detailed procedure to find GCD of 359, 897, 610, 164?

You can find a detailed procedure to find GCD of 359, 897, 610, 164 on our page.

3. How to find GCD of 359, 897, 610, 164 on a calculator?

You can find the GCD of 359, 897, 610, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.