GCD of 559, 240, 864, 782 Calculator

Given Input numbers are 559, 240, 864, 782

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 559, 240, 864, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 240, 864, 782 is 1.

Therefore, GCD of numbers 559, 240, 864, 782 is 1

Given Input Data is 559, 240, 864, 782

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 782 is 2 x 17 x 23

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(559, 240) = 134160

GCD(559, 240) = ( 559 x 240 ) / 134160

GCD(559, 240) = 134160 / 134160

GCD(559, 240) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 559, 240, 864, 782 is 1

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• GCD of 987, 598, 806, 469
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1. What is the GCD of 559, 240, 864, 782?

GCD of 559, 240, 864, 782 is 1

2. Where do I get the detailed procedure to find GCD of 559, 240, 864, 782?

You can find a detailed procedure to find GCD of 559, 240, 864, 782 on our page.

3. How to find GCD of 559, 240, 864, 782 on a calculator?

You can find the GCD of 559, 240, 864, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.