GCD of 590, 320, 86, 221 Calculator

Given Input numbers are 590, 320, 86, 221

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 590, 320, 86, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 320, 86, 221 is 1.

Therefore, GCD of numbers 590, 320, 86, 221 is 1

Given Input Data is 590, 320, 86, 221

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 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 86 is 2 x 43

Prime Factorization of 221 is 13 x 17

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, 320) = 18880

GCD(590, 320) = ( 590 x 320 ) / 18880

GCD(590, 320) = 188800 / 18880

GCD(590, 320) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 86

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

LCM(10, 86) = 430

GCD(10, 86) = ( 10 x 86 ) / 430

GCD(10, 86) = 860 / 430

GCD(10, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 590, 320, 86, 221 is 1

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• GCD of 326, 889, 63, 133
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1. What is the GCD of 590, 320, 86, 221?

GCD of 590, 320, 86, 221 is 1

2. Where do I get the detailed procedure to find GCD of 590, 320, 86, 221?

You can find a detailed procedure to find GCD of 590, 320, 86, 221 on our page.

3. How to find GCD of 590, 320, 86, 221 on a calculator?

You can find the GCD of 590, 320, 86, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.