GCD of 560, 576, 85, 666 Calculator

Given Input numbers are 560, 576, 85, 666

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 560, 576, 85, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 576, 85, 666 is 1.

Therefore, GCD of numbers 560, 576, 85, 666 is 1

Given Input Data is 560, 576, 85, 666

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 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 85 is 5 x 17

Prime Factorization of 666 is 2 x 3 x 3 x 37

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, 576) = 20160

GCD(560, 576) = ( 560 x 576 ) / 20160

GCD(560, 576) = 322560 / 20160

GCD(560, 576) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 85

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

LCM(16, 85) = 1360

GCD(16, 85) = ( 16 x 85 ) / 1360

GCD(16, 85) = 1360 / 1360

GCD(16, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 560, 576, 85, 666 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 396, 71, 245
• GCD of 944, 889, 72, 998
• GCD of 939, 287, 56, 997
• GCD of 635, 767, 66, 767
• GCD of 779, 710, 62, 591

1. What is the GCD of 560, 576, 85, 666?

GCD of 560, 576, 85, 666 is 1

2. Where do I get the detailed procedure to find GCD of 560, 576, 85, 666?

You can find a detailed procedure to find GCD of 560, 576, 85, 666 on our page.

3. How to find GCD of 560, 576, 85, 666 on a calculator?

You can find the GCD of 560, 576, 85, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.