GCD of 590, 267, 922, 659 Calculator

Given Input numbers are 590, 267, 922, 659

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 590, 267, 922, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 267, 922, 659 is 1.

Therefore, GCD of numbers 590, 267, 922, 659 is 1

Given Input Data is 590, 267, 922, 659

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 267 is 3 x 89

Prime Factorization of 922 is 2 x 461

Prime Factorization of 659 is 659

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, 267) = 157530

GCD(590, 267) = ( 590 x 267 ) / 157530

GCD(590, 267) = 157530 / 157530

GCD(590, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 590, 267, 922, 659 is 1

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1. What is the GCD of 590, 267, 922, 659?

GCD of 590, 267, 922, 659 is 1

2. Where do I get the detailed procedure to find GCD of 590, 267, 922, 659?

You can find a detailed procedure to find GCD of 590, 267, 922, 659 on our page.

3. How to find GCD of 590, 267, 922, 659 on a calculator?

You can find the GCD of 590, 267, 922, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.