GCD of 171, 258, 37, 536 Calculator

Given Input numbers are 171, 258, 37, 536

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 171, 258, 37, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 258, 37, 536 is 1.

Therefore, GCD of numbers 171, 258, 37, 536 is 1

Given Input Data is 171, 258, 37, 536

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 37 is 37

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(171, 258) = 14706

GCD(171, 258) = ( 171 x 258 ) / 14706

GCD(171, 258) = 44118 / 14706

GCD(171, 258) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

GCD of 171, 258, 37, 536 is 1

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• GCD of 207, 553, 51, 636
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1. What is the GCD of 171, 258, 37, 536?

GCD of 171, 258, 37, 536 is 1

2. Where do I get the detailed procedure to find GCD of 171, 258, 37, 536?

You can find a detailed procedure to find GCD of 171, 258, 37, 536 on our page.

3. How to find GCD of 171, 258, 37, 536 on a calculator?

You can find the GCD of 171, 258, 37, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.