GCD of 749, 636, 12, 122 Calculator

Given Input numbers are 749, 636, 12, 122

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 749, 636, 12, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 636, 12, 122 is 1.

Therefore, GCD of numbers 749, 636, 12, 122 is 1

Given Input Data is 749, 636, 12, 122

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 12 is 2 x 2 x 3

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(749, 636) = 476364

GCD(749, 636) = ( 749 x 636 ) / 476364

GCD(749, 636) = 476364 / 476364

GCD(749, 636) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 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 749, 636, 12, 122 is 1

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• GCD of 664, 556, 26, 166
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1. What is the GCD of 749, 636, 12, 122?

GCD of 749, 636, 12, 122 is 1

2. Where do I get the detailed procedure to find GCD of 749, 636, 12, 122?

You can find a detailed procedure to find GCD of 749, 636, 12, 122 on our page.

3. How to find GCD of 749, 636, 12, 122 on a calculator?

You can find the GCD of 749, 636, 12, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.