GCD of 122, 680, 33, 451 Calculator

Given Input numbers are 122, 680, 33, 451

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

Divisors of 122

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

1, 2, 61, 122

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 122, 680, 33, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 680, 33, 451 is 1.

Therefore, GCD of numbers 122, 680, 33, 451 is 1

Given Input Data is 122, 680, 33, 451

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 33 is 3 x 11

Prime Factorization of 451 is 11 x 41

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(122, 680) = 41480

GCD(122, 680) = ( 122 x 680 ) / 41480

GCD(122, 680) = 82960 / 41480

GCD(122, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

GCD of 122, 680, 33, 451 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 606, 81, 964
• GCD of 670, 254, 76, 925
• GCD of 395, 843, 20, 529
• GCD of 117, 685, 16, 571
• GCD of 560, 427, 89, 169

1. What is the GCD of 122, 680, 33, 451?

GCD of 122, 680, 33, 451 is 1

2. Where do I get the detailed procedure to find GCD of 122, 680, 33, 451?

You can find a detailed procedure to find GCD of 122, 680, 33, 451 on our page.

3. How to find GCD of 122, 680, 33, 451 on a calculator?

You can find the GCD of 122, 680, 33, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.