GCD of 104, 649, 122 Calculator

Given Input numbers are 104, 649, 122

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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 104, 649, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 649, 122 is 1.

Therefore, GCD of numbers 104, 649, 122 is 1

Given Input Data is 104, 649, 122

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 649 is 11 x 59

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(104, 649) = 67496

GCD(104, 649) = ( 104 x 649 ) / 67496

GCD(104, 649) = 67496 / 67496

GCD(104, 649) = 1

Step2:

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 104, 649, 122 is 1

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1. What is the GCD of 104, 649, 122?

GCD of 104, 649, 122 is 1

2. Where do I get the detailed procedure to find GCD of 104, 649, 122?

You can find a detailed procedure to find GCD of 104, 649, 122 on our page.

3. How to find GCD of 104, 649, 122 on a calculator?

You can find the GCD of 104, 649, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.