GCD of 58, 450, 351, 774 Calculator

Given Input numbers are 58, 450, 351, 774

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 58, 450, 351, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 450, 351, 774 is 1.

Therefore, GCD of numbers 58, 450, 351, 774 is 1

Given Input Data is 58, 450, 351, 774

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(58, 450) = 13050

GCD(58, 450) = ( 58 x 450 ) / 13050

GCD(58, 450) = 26100 / 13050

GCD(58, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 351

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

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

GCD(2, 351) = 702 / 702

GCD(2, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 58, 450, 351, 774 is 1

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• GCD of 91, 275, 699, 596
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• GCD of 87, 590, 893, 782

1. What is the GCD of 58, 450, 351, 774?

GCD of 58, 450, 351, 774 is 1

2. Where do I get the detailed procedure to find GCD of 58, 450, 351, 774?

You can find a detailed procedure to find GCD of 58, 450, 351, 774 on our page.

3. How to find GCD of 58, 450, 351, 774 on a calculator?

You can find the GCD of 58, 450, 351, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.