GCD of 122, 252, 22, 834 Calculator

Given Input numbers are 122, 252, 22, 834

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 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 122, 252, 22, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 252, 22, 834 is 2.

Therefore, GCD of numbers 122, 252, 22, 834 is 2

Given Input Data is 122, 252, 22, 834

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 22 is 2 x 11

Prime Factorization of 834 is 2 x 3 x 139

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 252) = 15372

GCD(122, 252) = ( 122 x 252 ) / 15372

GCD(122, 252) = 30744 / 15372

GCD(122, 252) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 834

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

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

GCD(2, 834) = 1668 / 834

GCD(2, 834) = 2

GCD of 122, 252, 22, 834 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 264, 74, 736
• GCD of 225, 181, 97, 762
• GCD of 679, 908, 11, 443
• GCD of 257, 949, 41, 890
• GCD of 638, 991, 92, 131

1. What is the GCD of 122, 252, 22, 834?

GCD of 122, 252, 22, 834 is 2

2. Where do I get the detailed procedure to find GCD of 122, 252, 22, 834?

You can find a detailed procedure to find GCD of 122, 252, 22, 834 on our page.

3. How to find GCD of 122, 252, 22, 834 on a calculator?

You can find the GCD of 122, 252, 22, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.