GCD of 58, 355, 616, 290 Calculator

Given Input numbers are 58, 355, 616, 290

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 355

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

1, 5, 71, 355

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 58, 355, 616, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 355, 616, 290 is 1.

Therefore, GCD of numbers 58, 355, 616, 290 is 1

Given Input Data is 58, 355, 616, 290

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 355 is 5 x 71

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 290 is 2 x 5 x 29

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(58, 355) = 20590

GCD(58, 355) = ( 58 x 355 ) / 20590

GCD(58, 355) = 20590 / 20590

GCD(58, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 58, 355, 616, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 692, 279, 530
• GCD of 64, 402, 733, 280
• GCD of 45, 800, 666, 446
• GCD of 32, 455, 117, 509
• GCD of 25, 353, 609, 510

1. What is the GCD of 58, 355, 616, 290?

GCD of 58, 355, 616, 290 is 1

2. Where do I get the detailed procedure to find GCD of 58, 355, 616, 290?

You can find a detailed procedure to find GCD of 58, 355, 616, 290 on our page.

3. How to find GCD of 58, 355, 616, 290 on a calculator?

You can find the GCD of 58, 355, 616, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.