GCD of 57, 802, 590, 171 Calculator

Given Input numbers are 57, 802, 590, 171

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 57, 802, 590, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 802, 590, 171 is 1.

Therefore, GCD of numbers 57, 802, 590, 171 is 1

Given Input Data is 57, 802, 590, 171

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 802 is 2 x 401

Prime Factorization of 590 is 2 x 5 x 59

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(57, 802) = 45714

GCD(57, 802) = ( 57 x 802 ) / 45714

GCD(57, 802) = 45714 / 45714

GCD(57, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 57, 802, 590, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 607, 662, 799
• GCD of 77, 226, 962, 695
• GCD of 61, 501, 731, 139
• GCD of 29, 233, 719, 660
• GCD of 20, 172, 974, 735

1. What is the GCD of 57, 802, 590, 171?

GCD of 57, 802, 590, 171 is 1

2. Where do I get the detailed procedure to find GCD of 57, 802, 590, 171?

You can find a detailed procedure to find GCD of 57, 802, 590, 171 on our page.

3. How to find GCD of 57, 802, 590, 171 on a calculator?

You can find the GCD of 57, 802, 590, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.