GCD of 165, 974, 438, 322 Calculator

Given Input numbers are 165, 974, 438, 322

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 165, 974, 438, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 974, 438, 322 is 1.

Therefore, GCD of numbers 165, 974, 438, 322 is 1

Given Input Data is 165, 974, 438, 322

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 974 is 2 x 487

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 322 is 2 x 7 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(165, 974) = 160710

GCD(165, 974) = ( 165 x 974 ) / 160710

GCD(165, 974) = 160710 / 160710

GCD(165, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 165, 974, 438, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 269, 420, 667
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• GCD of 841, 316, 388, 172
• GCD of 419, 928, 871, 391
• GCD of 158, 453, 547, 566

1. What is the GCD of 165, 974, 438, 322?

GCD of 165, 974, 438, 322 is 1

2. Where do I get the detailed procedure to find GCD of 165, 974, 438, 322?

You can find a detailed procedure to find GCD of 165, 974, 438, 322 on our page.

3. How to find GCD of 165, 974, 438, 322 on a calculator?

You can find the GCD of 165, 974, 438, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.