GCD of 220, 790, 22, 775 Calculator

Given Input numbers are 220, 790, 22, 775

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 22

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

1, 2, 11, 22

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 220, 790, 22, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 790, 22, 775 is 1.

Therefore, GCD of numbers 220, 790, 22, 775 is 1

Given Input Data is 220, 790, 22, 775

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 22 is 2 x 11

Prime Factorization of 775 is 5 x 5 x 31

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(220, 790) = 17380

GCD(220, 790) = ( 220 x 790 ) / 17380

GCD(220, 790) = 173800 / 17380

GCD(220, 790) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 22

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

LCM(10, 22) = 110

GCD(10, 22) = ( 10 x 22 ) / 110

GCD(10, 22) = 220 / 110

GCD(10, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 775

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

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

GCD(2, 775) = 1550 / 1550

GCD(2, 775) = 1

GCD of 220, 790, 22, 775 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 294, 17, 606
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• GCD of 816, 169, 58, 777

1. What is the GCD of 220, 790, 22, 775?

GCD of 220, 790, 22, 775 is 1

2. Where do I get the detailed procedure to find GCD of 220, 790, 22, 775?

You can find a detailed procedure to find GCD of 220, 790, 22, 775 on our page.

3. How to find GCD of 220, 790, 22, 775 on a calculator?

You can find the GCD of 220, 790, 22, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.