GCD of 57, 90, 40, 84 Calculator

Given Input numbers are 57, 90, 40, 84

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 57, 90, 40, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 90, 40, 84 is 1.

Therefore, GCD of numbers 57, 90, 40, 84 is 1

Given Input Data is 57, 90, 40, 84

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

Prime Factorization of 57 is 3 x 19

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(57, 90) = 1710

GCD(57, 90) = ( 57 x 90 ) / 1710

GCD(57, 90) = 5130 / 1710

GCD(57, 90) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 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 57, 90, 40, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 51, 26, 52
• GCD of 31, 36, 28, 13
• GCD of 75, 90, 65, 44
• GCD of 92, 19, 39, 21
• GCD of 85, 83, 84, 12

1. What is the GCD of 57, 90, 40, 84?

GCD of 57, 90, 40, 84 is 1

2. Where do I get the detailed procedure to find GCD of 57, 90, 40, 84?

You can find a detailed procedure to find GCD of 57, 90, 40, 84 on our page.

3. How to find GCD of 57, 90, 40, 84 on a calculator?

You can find the GCD of 57, 90, 40, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.