GCD of 560, 449, 490, 586 Calculator

Given Input numbers are 560, 449, 490, 586

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 560, 449, 490, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 449, 490, 586 is 1.

Therefore, GCD of numbers 560, 449, 490, 586 is 1

Given Input Data is 560, 449, 490, 586

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 449 is 449

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 586 is 2 x 293

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(560, 449) = 251440

GCD(560, 449) = ( 560 x 449 ) / 251440

GCD(560, 449) = 251440 / 251440

GCD(560, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 560, 449, 490, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 377, 444, 964
• GCD of 623, 666, 760, 478
• GCD of 424, 103, 377, 523
• GCD of 255, 429, 504, 148
• GCD of 273, 774, 286, 152

1. What is the GCD of 560, 449, 490, 586?

GCD of 560, 449, 490, 586 is 1

2. Where do I get the detailed procedure to find GCD of 560, 449, 490, 586?

You can find a detailed procedure to find GCD of 560, 449, 490, 586 on our page.

3. How to find GCD of 560, 449, 490, 586 on a calculator?

You can find the GCD of 560, 449, 490, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.