GCD of 85, 580, 521, 892 Calculator

Given Input numbers are 85, 580, 521, 892

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 85, 580, 521, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 580, 521, 892 is 1.

Therefore, GCD of numbers 85, 580, 521, 892 is 1

Given Input Data is 85, 580, 521, 892

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 521 is 521

Prime Factorization of 892 is 2 x 2 x 223

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(85, 580) = 9860

GCD(85, 580) = ( 85 x 580 ) / 9860

GCD(85, 580) = 49300 / 9860

GCD(85, 580) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 521

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

LCM(5, 521) = 2605

GCD(5, 521) = ( 5 x 521 ) / 2605

GCD(5, 521) = 2605 / 2605

GCD(5, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 85, 580, 521, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 758, 531, 141
• GCD of 37, 302, 348, 164
• GCD of 57, 333, 635, 948
• GCD of 23, 555, 375, 677
• GCD of 54, 268, 533, 992

1. What is the GCD of 85, 580, 521, 892?

GCD of 85, 580, 521, 892 is 1

2. Where do I get the detailed procedure to find GCD of 85, 580, 521, 892?

You can find a detailed procedure to find GCD of 85, 580, 521, 892 on our page.

3. How to find GCD of 85, 580, 521, 892 on a calculator?

You can find the GCD of 85, 580, 521, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.