GCD of 22, 123, 338, 736 Calculator

Given Input numbers are 22, 123, 338, 736

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

Divisors of 22

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

1, 2, 11, 22

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 22, 123, 338, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 123, 338, 736 is 1.

Therefore, GCD of numbers 22, 123, 338, 736 is 1

Given Input Data is 22, 123, 338, 736

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 123 is 3 x 41

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(22, 123) = 2706

GCD(22, 123) = ( 22 x 123 ) / 2706

GCD(22, 123) = 2706 / 2706

GCD(22, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 22, 123, 338, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 428, 883, 210
• GCD of 49, 282, 761, 209
• GCD of 82, 959, 497, 538
• GCD of 15, 270, 433, 282
• GCD of 12, 500, 534, 334

1. What is the GCD of 22, 123, 338, 736?

GCD of 22, 123, 338, 736 is 1

2. Where do I get the detailed procedure to find GCD of 22, 123, 338, 736?

You can find a detailed procedure to find GCD of 22, 123, 338, 736 on our page.

3. How to find GCD of 22, 123, 338, 736 on a calculator?

You can find the GCD of 22, 123, 338, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.