GCD of 290, 598, 628, 545 Calculator

Given Input numbers are 290, 598, 628, 545

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

Divisors of 290

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

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 290, 598, 628, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 598, 628, 545 is 1.

Therefore, GCD of numbers 290, 598, 628, 545 is 1

Given Input Data is 290, 598, 628, 545

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 545 is 5 x 109

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(290, 598) = 86710

GCD(290, 598) = ( 290 x 598 ) / 86710

GCD(290, 598) = 173420 / 86710

GCD(290, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 545

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

LCM(2, 545) = 1090

GCD(2, 545) = ( 2 x 545 ) / 1090

GCD(2, 545) = 1090 / 1090

GCD(2, 545) = 1

GCD of 290, 598, 628, 545 is 1

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1. What is the GCD of 290, 598, 628, 545?

GCD of 290, 598, 628, 545 is 1

2. Where do I get the detailed procedure to find GCD of 290, 598, 628, 545?

You can find a detailed procedure to find GCD of 290, 598, 628, 545 on our page.

3. How to find GCD of 290, 598, 628, 545 on a calculator?

You can find the GCD of 290, 598, 628, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.