GCD of 560, 986, 76, 585 Calculator

Given Input numbers are 560, 986, 76, 585

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 560, 986, 76, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 986, 76, 585 is 1.

Therefore, GCD of numbers 560, 986, 76, 585 is 1

Given Input Data is 560, 986, 76, 585

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 986 is 2 x 17 x 29

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 585 is 3 x 3 x 5 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(560, 986) = 276080

GCD(560, 986) = ( 560 x 986 ) / 276080

GCD(560, 986) = 552160 / 276080

GCD(560, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

GCD of 560, 986, 76, 585 is 1

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• GCD of 902, 422, 98, 203
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1. What is the GCD of 560, 986, 76, 585?

GCD of 560, 986, 76, 585 is 1

2. Where do I get the detailed procedure to find GCD of 560, 986, 76, 585?

You can find a detailed procedure to find GCD of 560, 986, 76, 585 on our page.

3. How to find GCD of 560, 986, 76, 585 on a calculator?

You can find the GCD of 560, 986, 76, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.