GCD of 160, 500, 587, 898 Calculator

Given Input numbers are 160, 500, 587, 898

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 160, 500, 587, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 500, 587, 898 is 1.

Therefore, GCD of numbers 160, 500, 587, 898 is 1

Given Input Data is 160, 500, 587, 898

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 587 is 587

Prime Factorization of 898 is 2 x 449

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(160, 500) = 4000

GCD(160, 500) = ( 160 x 500 ) / 4000

GCD(160, 500) = 80000 / 4000

GCD(160, 500) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 587

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

LCM(20, 587) = 11740

GCD(20, 587) = ( 20 x 587 ) / 11740

GCD(20, 587) = 11740 / 11740

GCD(20, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 160, 500, 587, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 549, 729, 795
• GCD of 970, 791, 890, 182
• GCD of 529, 125, 445, 499
• GCD of 534, 487, 543, 839
• GCD of 511, 123, 859, 709

1. What is the GCD of 160, 500, 587, 898?

GCD of 160, 500, 587, 898 is 1

2. Where do I get the detailed procedure to find GCD of 160, 500, 587, 898?

You can find a detailed procedure to find GCD of 160, 500, 587, 898 on our page.

3. How to find GCD of 160, 500, 587, 898 on a calculator?

You can find the GCD of 160, 500, 587, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.