GCD of 22, 41, 77, 56 Calculator

Given Input numbers are 22, 41, 77, 56

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

Divisors of 22

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

1, 2, 11, 22

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 77

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

1, 7, 11, 77

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 22, 41, 77, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 41, 77, 56 is 1.

Therefore, GCD of numbers 22, 41, 77, 56 is 1

Given Input Data is 22, 41, 77, 56

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 41 is 41

Prime Factorization of 77 is 7 x 11

Prime Factorization of 56 is 2 x 2 x 2 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(22, 41) = 902

GCD(22, 41) = ( 22 x 41 ) / 902

GCD(22, 41) = 902 / 902

GCD(22, 41) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 22, 41, 77, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 49, 27, 23
• GCD of 38, 96, 31, 10
• GCD of 62, 49, 30, 60
• GCD of 19, 76, 86, 40
• GCD of 77, 49, 76, 84

1. What is the GCD of 22, 41, 77, 56?

GCD of 22, 41, 77, 56 is 1

2. Where do I get the detailed procedure to find GCD of 22, 41, 77, 56?

You can find a detailed procedure to find GCD of 22, 41, 77, 56 on our page.

3. How to find GCD of 22, 41, 77, 56 on a calculator?

You can find the GCD of 22, 41, 77, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.