GCD of 78, 22, 72, 57 Calculator

Given Input numbers are 78, 22, 72, 57

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 57

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

1, 3, 19, 57

Greatest Common Divisior

We found the divisors of 78, 22, 72, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 22, 72, 57 is 1.

Therefore, GCD of numbers 78, 22, 72, 57 is 1

Given Input Data is 78, 22, 72, 57

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 57 is 3 x 19

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(78, 22) = 858

GCD(78, 22) = ( 78 x 22 ) / 858

GCD(78, 22) = 1716 / 858

GCD(78, 22) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

GCD of 78, 22, 72, 57 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 63, 40, 79
• GCD of 86, 79, 29, 40
• GCD of 57, 49, 91, 48
• GCD of 28, 90, 59, 71
• GCD of 87, 64, 56, 97

1. What is the GCD of 78, 22, 72, 57?

GCD of 78, 22, 72, 57 is 1

2. Where do I get the detailed procedure to find GCD of 78, 22, 72, 57?

You can find a detailed procedure to find GCD of 78, 22, 72, 57 on our page.

3. How to find GCD of 78, 22, 72, 57 on a calculator?

You can find the GCD of 78, 22, 72, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.