GCD of 361, 784, 785, 928 Calculator

Given Input numbers are 361, 784, 785, 928

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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

Greatest Common Divisior

We found the divisors of 361, 784, 785, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 784, 785, 928 is 1.

Therefore, GCD of numbers 361, 784, 785, 928 is 1

Given Input Data is 361, 784, 785, 928

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 785 is 5 x 157

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

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(361, 784) = 283024

GCD(361, 784) = ( 361 x 784 ) / 283024

GCD(361, 784) = 283024 / 283024

GCD(361, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

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

GCD of 361, 784, 785, 928 is 1

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1. What is the GCD of 361, 784, 785, 928?

GCD of 361, 784, 785, 928 is 1

2. Where do I get the detailed procedure to find GCD of 361, 784, 785, 928?

You can find a detailed procedure to find GCD of 361, 784, 785, 928 on our page.

3. How to find GCD of 361, 784, 785, 928 on a calculator?

You can find the GCD of 361, 784, 785, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.