GCD of 105, 872, 56, 122 Calculator

Given Input numbers are 105, 872, 56, 122

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 105, 872, 56, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 872, 56, 122 is 1.

Therefore, GCD of numbers 105, 872, 56, 122 is 1

Given Input Data is 105, 872, 56, 122

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(105, 872) = 91560

GCD(105, 872) = ( 105 x 872 ) / 91560

GCD(105, 872) = 91560 / 91560

GCD(105, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 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 105, 872, 56, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 186, 42, 884
• GCD of 245, 326, 29, 889
• GCD of 529, 684, 70, 774
• GCD of 732, 391, 80, 643
• GCD of 783, 640, 22, 974

1. What is the GCD of 105, 872, 56, 122?

GCD of 105, 872, 56, 122 is 1

2. Where do I get the detailed procedure to find GCD of 105, 872, 56, 122?

You can find a detailed procedure to find GCD of 105, 872, 56, 122 on our page.

3. How to find GCD of 105, 872, 56, 122 on a calculator?

You can find the GCD of 105, 872, 56, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.