GCD of 355, 304, 928, 532 Calculator

Given Input numbers are 355, 304, 928, 532

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

Divisors of 355

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

1, 5, 71, 355

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 355, 304, 928, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 304, 928, 532 is 1.

Therefore, GCD of numbers 355, 304, 928, 532 is 1

Given Input Data is 355, 304, 928, 532

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(355, 304) = 107920

GCD(355, 304) = ( 355 x 304 ) / 107920

GCD(355, 304) = 107920 / 107920

GCD(355, 304) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 355, 304, 928, 532 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 557, 831, 420
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• GCD of 419, 162, 675, 179
• GCD of 568, 383, 198, 858

1. What is the GCD of 355, 304, 928, 532?

GCD of 355, 304, 928, 532 is 1

2. Where do I get the detailed procedure to find GCD of 355, 304, 928, 532?

You can find a detailed procedure to find GCD of 355, 304, 928, 532 on our page.

3. How to find GCD of 355, 304, 928, 532 on a calculator?

You can find the GCD of 355, 304, 928, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.