GCD of 58, 490, 551, 345 Calculator

Given Input numbers are 58, 490, 551, 345

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 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 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 58, 490, 551, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 490, 551, 345 is 1.

Therefore, GCD of numbers 58, 490, 551, 345 is 1

Given Input Data is 58, 490, 551, 345

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

Prime Factorization of 58 is 2 x 29

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

Prime Factorization of 551 is 19 x 29

Prime Factorization of 345 is 3 x 5 x 23

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, 490) = 14210

GCD(58, 490) = ( 58 x 490 ) / 14210

GCD(58, 490) = 28420 / 14210

GCD(58, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 551

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

LCM(2, 551) = 1102

GCD(2, 551) = ( 2 x 551 ) / 1102

GCD(2, 551) = 1102 / 1102

GCD(2, 551) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 58, 490, 551, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 908, 743, 457
• GCD of 44, 465, 214, 671
• GCD of 20, 664, 663, 589
• GCD of 99, 780, 593, 117
• GCD of 47, 564, 417, 472

1. What is the GCD of 58, 490, 551, 345?

GCD of 58, 490, 551, 345 is 1

2. Where do I get the detailed procedure to find GCD of 58, 490, 551, 345?

You can find a detailed procedure to find GCD of 58, 490, 551, 345 on our page.

3. How to find GCD of 58, 490, 551, 345 on a calculator?

You can find the GCD of 58, 490, 551, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.