GCD of 77, 72, 59, 22 Calculator

Given Input numbers are 77, 72, 59, 22

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 22

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

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 77, 72, 59, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 72, 59, 22 is 1.

Therefore, GCD of numbers 77, 72, 59, 22 is 1

Given Input Data is 77, 72, 59, 22

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

Prime Factorization of 77 is 7 x 11

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

Prime Factorization of 59 is 59

Prime Factorization of 22 is 2 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(77, 72) = 5544

GCD(77, 72) = ( 77 x 72 ) / 5544

GCD(77, 72) = 5544 / 5544

GCD(77, 72) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

GCD of 77, 72, 59, 22 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 32, 19, 83
• GCD of 96, 44, 63, 55
• GCD of 50, 62, 38, 19
• GCD of 12, 97, 16, 63
• GCD of 38, 10, 76, 47

1. What is the GCD of 77, 72, 59, 22?

GCD of 77, 72, 59, 22 is 1

2. Where do I get the detailed procedure to find GCD of 77, 72, 59, 22?

You can find a detailed procedure to find GCD of 77, 72, 59, 22 on our page.

3. How to find GCD of 77, 72, 59, 22 on a calculator?

You can find the GCD of 77, 72, 59, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.