GCD of 221, 360, 590, 715 Calculator

Given Input numbers are 221, 360, 590, 715

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

Divisors of 221

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

1, 13, 17, 221

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 221, 360, 590, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 360, 590, 715 is 1.

Therefore, GCD of numbers 221, 360, 590, 715 is 1

Given Input Data is 221, 360, 590, 715

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 715 is 5 x 11 x 13

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(221, 360) = 79560

GCD(221, 360) = ( 221 x 360 ) / 79560

GCD(221, 360) = 79560 / 79560

GCD(221, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 221, 360, 590, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 477, 854, 241
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• GCD of 100, 976, 642, 851
• GCD of 519, 442, 468, 290
• GCD of 399, 695, 474, 205

1. What is the GCD of 221, 360, 590, 715?

GCD of 221, 360, 590, 715 is 1

2. Where do I get the detailed procedure to find GCD of 221, 360, 590, 715?

You can find a detailed procedure to find GCD of 221, 360, 590, 715 on our page.

3. How to find GCD of 221, 360, 590, 715 on a calculator?

You can find the GCD of 221, 360, 590, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.