GCD of 365, 417, 490, 780 Calculator

Given Input numbers are 365, 417, 490, 780

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

Greatest Common Divisior

We found the divisors of 365, 417, 490, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 417, 490, 780 is 1.

Therefore, GCD of numbers 365, 417, 490, 780 is 1

Given Input Data is 365, 417, 490, 780

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 417 is 3 x 139

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

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(365, 417) = 152205

GCD(365, 417) = ( 365 x 417 ) / 152205

GCD(365, 417) = 152205 / 152205

GCD(365, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 365, 417, 490, 780 is 1

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1. What is the GCD of 365, 417, 490, 780?

GCD of 365, 417, 490, 780 is 1

2. Where do I get the detailed procedure to find GCD of 365, 417, 490, 780?

You can find a detailed procedure to find GCD of 365, 417, 490, 780 on our page.

3. How to find GCD of 365, 417, 490, 780 on a calculator?

You can find the GCD of 365, 417, 490, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.