GCD of 23, 90, 53, 85 Calculator

Given Input numbers are 23, 90, 53, 85

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 85

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

1, 5, 17, 85

Greatest Common Divisior

We found the divisors of 23, 90, 53, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 90, 53, 85 is 1.

Therefore, GCD of numbers 23, 90, 53, 85 is 1

Given Input Data is 23, 90, 53, 85

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

Prime Factorization of 23 is 23

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 53 is 53

Prime Factorization of 85 is 5 x 17

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(23, 90) = 2070

GCD(23, 90) = ( 23 x 90 ) / 2070

GCD(23, 90) = 2070 / 2070

GCD(23, 90) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

GCD of 23, 90, 53, 85 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 35, 14, 83
• GCD of 59, 72, 63, 27
• GCD of 59, 76, 39, 77
• GCD of 33, 40, 76, 38
• GCD of 17, 93, 17, 95

1. What is the GCD of 23, 90, 53, 85?

GCD of 23, 90, 53, 85 is 1

2. Where do I get the detailed procedure to find GCD of 23, 90, 53, 85?

You can find a detailed procedure to find GCD of 23, 90, 53, 85 on our page.

3. How to find GCD of 23, 90, 53, 85 on a calculator?

You can find the GCD of 23, 90, 53, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.