GCD of 355, 730, 415, 460 Calculator

Given Input numbers are 355, 730, 415, 460

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 415

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

1, 5, 83, 415

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 355, 730, 415, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 730, 415, 460 is 5.

Therefore, GCD of numbers 355, 730, 415, 460 is 5

Given Input Data is 355, 730, 415, 460

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 415 is 5 x 83

Prime Factorization of 460 is 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(355, 730) = 51830

GCD(355, 730) = ( 355 x 730 ) / 51830

GCD(355, 730) = 259150 / 51830

GCD(355, 730) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 415

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

LCM(5, 415) = 415

GCD(5, 415) = ( 5 x 415 ) / 415

GCD(5, 415) = 2075 / 415

GCD(5, 415) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 460

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

LCM(5, 460) = 460

GCD(5, 460) = ( 5 x 460 ) / 460

GCD(5, 460) = 2300 / 460

GCD(5, 460) = 5

GCD of 355, 730, 415, 460 is 5

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1. What is the GCD of 355, 730, 415, 460?

GCD of 355, 730, 415, 460 is 5

2. Where do I get the detailed procedure to find GCD of 355, 730, 415, 460?

You can find a detailed procedure to find GCD of 355, 730, 415, 460 on our page.

3. How to find GCD of 355, 730, 415, 460 on a calculator?

You can find the GCD of 355, 730, 415, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.