GCD of 780, 928, 345, 463 Calculator

Given Input numbers are 780, 928, 345, 463

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 780, 928, 345, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 928, 345, 463 is 1.

Therefore, GCD of numbers 780, 928, 345, 463 is 1

Given Input Data is 780, 928, 345, 463

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 463 is 463

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(780, 928) = 180960

GCD(780, 928) = ( 780 x 928 ) / 180960

GCD(780, 928) = 723840 / 180960

GCD(780, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 345

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

LCM(4, 345) = 1380

GCD(4, 345) = ( 4 x 345 ) / 1380

GCD(4, 345) = 1380 / 1380

GCD(4, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 780, 928, 345, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 850, 204, 804
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1. What is the GCD of 780, 928, 345, 463?

GCD of 780, 928, 345, 463 is 1

2. Where do I get the detailed procedure to find GCD of 780, 928, 345, 463?

You can find a detailed procedure to find GCD of 780, 928, 345, 463 on our page.

3. How to find GCD of 780, 928, 345, 463 on a calculator?

You can find the GCD of 780, 928, 345, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.