GCD of 164, 928, 754, 355 Calculator

Given Input numbers are 164, 928, 754, 355

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 164, 928, 754, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 928, 754, 355 is 1.

Therefore, GCD of numbers 164, 928, 754, 355 is 1

Given Input Data is 164, 928, 754, 355

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 355 is 5 x 71

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(164, 928) = 38048

GCD(164, 928) = ( 164 x 928 ) / 38048

GCD(164, 928) = 152192 / 38048

GCD(164, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 754

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

LCM(4, 754) = 1508

GCD(4, 754) = ( 4 x 754 ) / 1508

GCD(4, 754) = 3016 / 1508

GCD(4, 754) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

GCD of 164, 928, 754, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 779, 859, 684
• GCD of 259, 248, 720, 901
• GCD of 353, 185, 424, 677
• GCD of 558, 104, 617, 309
• GCD of 204, 866, 189, 395

1. What is the GCD of 164, 928, 754, 355?

GCD of 164, 928, 754, 355 is 1

2. Where do I get the detailed procedure to find GCD of 164, 928, 754, 355?

You can find a detailed procedure to find GCD of 164, 928, 754, 355 on our page.

3. How to find GCD of 164, 928, 754, 355 on a calculator?

You can find the GCD of 164, 928, 754, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.