GCD of 465, 115, 780, 894 Calculator

Given Input numbers are 465, 115, 780, 894

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 465, 115, 780, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 115, 780, 894 is 1.

Therefore, GCD of numbers 465, 115, 780, 894 is 1

Given Input Data is 465, 115, 780, 894

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 115 is 5 x 23

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

Prime Factorization of 894 is 2 x 3 x 149

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(465, 115) = 10695

GCD(465, 115) = ( 465 x 115 ) / 10695

GCD(465, 115) = 53475 / 10695

GCD(465, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 780

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

LCM(5, 780) = 780

GCD(5, 780) = ( 5 x 780 ) / 780

GCD(5, 780) = 3900 / 780

GCD(5, 780) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 894

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

LCM(5, 894) = 4470

GCD(5, 894) = ( 5 x 894 ) / 4470

GCD(5, 894) = 4470 / 4470

GCD(5, 894) = 1

GCD of 465, 115, 780, 894 is 1

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1. What is the GCD of 465, 115, 780, 894?

GCD of 465, 115, 780, 894 is 1

2. Where do I get the detailed procedure to find GCD of 465, 115, 780, 894?

You can find a detailed procedure to find GCD of 465, 115, 780, 894 on our page.

3. How to find GCD of 465, 115, 780, 894 on a calculator?

You can find the GCD of 465, 115, 780, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.