GCD of 730, 658, 795, 415 Calculator

Given Input numbers are 730, 658, 795, 415

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 730, 658, 795, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 658, 795, 415 is 1.

Therefore, GCD of numbers 730, 658, 795, 415 is 1

Given Input Data is 730, 658, 795, 415

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 415 is 5 x 83

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(730, 658) = 240170

GCD(730, 658) = ( 730 x 658 ) / 240170

GCD(730, 658) = 480340 / 240170

GCD(730, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 795

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

LCM(2, 795) = 1590

GCD(2, 795) = ( 2 x 795 ) / 1590

GCD(2, 795) = 1590 / 1590

GCD(2, 795) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 730, 658, 795, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 771, 526, 782
• GCD of 365, 890, 257, 786
• GCD of 313, 948, 321, 235
• GCD of 783, 518, 960, 169
• GCD of 607, 959, 688, 221

1. What is the GCD of 730, 658, 795, 415?

GCD of 730, 658, 795, 415 is 1

2. Where do I get the detailed procedure to find GCD of 730, 658, 795, 415?

You can find a detailed procedure to find GCD of 730, 658, 795, 415 on our page.

3. How to find GCD of 730, 658, 795, 415 on a calculator?

You can find the GCD of 730, 658, 795, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.