GCD of 122, 438, 38, 354 Calculator

Given Input numbers are 122, 438, 38, 354

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 122, 438, 38, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 438, 38, 354 is 2.

Therefore, GCD of numbers 122, 438, 38, 354 is 2

Given Input Data is 122, 438, 38, 354

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 38 is 2 x 19

Prime Factorization of 354 is 2 x 3 x 59

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, 438) = 26718

GCD(122, 438) = ( 122 x 438 ) / 26718

GCD(122, 438) = 53436 / 26718

GCD(122, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

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

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 2

GCD of 122, 438, 38, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 117, 74, 544
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• GCD of 990, 189, 81, 989

1. What is the GCD of 122, 438, 38, 354?

GCD of 122, 438, 38, 354 is 2

2. Where do I get the detailed procedure to find GCD of 122, 438, 38, 354?

You can find a detailed procedure to find GCD of 122, 438, 38, 354 on our page.

3. How to find GCD of 122, 438, 38, 354 on a calculator?

You can find the GCD of 122, 438, 38, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.