GCD of 89, 500, 986, 165 Calculator

Given Input numbers are 89, 500, 986, 165

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 89, 500, 986, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 500, 986, 165 is 1.

Therefore, GCD of numbers 89, 500, 986, 165 is 1

Given Input Data is 89, 500, 986, 165

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

Prime Factorization of 89 is 89

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 165 is 3 x 5 x 11

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(89, 500) = 44500

GCD(89, 500) = ( 89 x 500 ) / 44500

GCD(89, 500) = 44500 / 44500

GCD(89, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 89, 500, 986, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 129, 711, 980
• GCD of 32, 546, 358, 106
• GCD of 87, 971, 608, 392
• GCD of 34, 684, 883, 447
• GCD of 25, 790, 268, 986

1. What is the GCD of 89, 500, 986, 165?

GCD of 89, 500, 986, 165 is 1

2. Where do I get the detailed procedure to find GCD of 89, 500, 986, 165?

You can find a detailed procedure to find GCD of 89, 500, 986, 165 on our page.

3. How to find GCD of 89, 500, 986, 165 on a calculator?

You can find the GCD of 89, 500, 986, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.