GCD of 590, 361, 654, 988 Calculator

Given Input numbers are 590, 361, 654, 988

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 590, 361, 654, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 361, 654, 988 is 1.

Therefore, GCD of numbers 590, 361, 654, 988 is 1

Given Input Data is 590, 361, 654, 988

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 361 is 19 x 19

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(590, 361) = 212990

GCD(590, 361) = ( 590 x 361 ) / 212990

GCD(590, 361) = 212990 / 212990

GCD(590, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 590, 361, 654, 988 is 1

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1. What is the GCD of 590, 361, 654, 988?

GCD of 590, 361, 654, 988 is 1

2. Where do I get the detailed procedure to find GCD of 590, 361, 654, 988?

You can find a detailed procedure to find GCD of 590, 361, 654, 988 on our page.

3. How to find GCD of 590, 361, 654, 988 on a calculator?

You can find the GCD of 590, 361, 654, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.