GCD of 85, 60, 89, 84 Calculator

Given Input numbers are 85, 60, 89, 84

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 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 89

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

1, 89

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 85, 60, 89, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 60, 89, 84 is 1.

Therefore, GCD of numbers 85, 60, 89, 84 is 1

Given Input Data is 85, 60, 89, 84

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 89 is 89

Prime Factorization of 84 is 2 x 2 x 3 x 7

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, 60) = 1020

GCD(85, 60) = ( 85 x 60 ) / 1020

GCD(85, 60) = 5100 / 1020

GCD(85, 60) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 89

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

LCM(5, 89) = 445

GCD(5, 89) = ( 5 x 89 ) / 445

GCD(5, 89) = 445 / 445

GCD(5, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 85, 60, 89, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 71, 40, 96
• GCD of 64, 80, 55, 58
• GCD of 35, 37, 19, 93
• GCD of 56, 55, 82, 73
• GCD of 56, 65, 95, 96

1. What is the GCD of 85, 60, 89, 84?

GCD of 85, 60, 89, 84 is 1

2. Where do I get the detailed procedure to find GCD of 85, 60, 89, 84?

You can find a detailed procedure to find GCD of 85, 60, 89, 84 on our page.

3. How to find GCD of 85, 60, 89, 84 on a calculator?

You can find the GCD of 85, 60, 89, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.