GCD of 111, 212, 65, 122 Calculator

Given Input numbers are 111, 212, 65, 122

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 111, 212, 65, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 212, 65, 122 is 1.

Therefore, GCD of numbers 111, 212, 65, 122 is 1

Given Input Data is 111, 212, 65, 122

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 65 is 5 x 13

Prime Factorization of 122 is 2 x 61

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(111, 212) = 23532

GCD(111, 212) = ( 111 x 212 ) / 23532

GCD(111, 212) = 23532 / 23532

GCD(111, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 111, 212, 65, 122 is 1

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1. What is the GCD of 111, 212, 65, 122?

GCD of 111, 212, 65, 122 is 1

2. Where do I get the detailed procedure to find GCD of 111, 212, 65, 122?

You can find a detailed procedure to find GCD of 111, 212, 65, 122 on our page.

3. How to find GCD of 111, 212, 65, 122 on a calculator?

You can find the GCD of 111, 212, 65, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.