GCD of 524, 586, 87 Calculator

Given Input numbers are 524, 586, 87

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 524, 586, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 586, 87 is 1.

Therefore, GCD of numbers 524, 586, 87 is 1

Given Input Data is 524, 586, 87

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 586 is 2 x 293

Prime Factorization of 87 is 3 x 29

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(524, 586) = 153532

GCD(524, 586) = ( 524 x 586 ) / 153532

GCD(524, 586) = 307064 / 153532

GCD(524, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

GCD of 524, 586, 87 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 704, 20
• GCD of 301, 578, 47
• GCD of 119, 953, 56
• GCD of 898, 352, 50
• GCD of 493, 872, 53

1. What is the GCD of 524, 586, 87?

GCD of 524, 586, 87 is 1

2. Where do I get the detailed procedure to find GCD of 524, 586, 87?

You can find a detailed procedure to find GCD of 524, 586, 87 on our page.

3. How to find GCD of 524, 586, 87 on a calculator?

You can find the GCD of 524, 586, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.