GCD of 560, 185, 678, 264 Calculator

Given Input numbers are 560, 185, 678, 264

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 560, 185, 678, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 185, 678, 264 is 1.

Therefore, GCD of numbers 560, 185, 678, 264 is 1

Given Input Data is 560, 185, 678, 264

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 185 is 5 x 37

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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, 185) = 20720

GCD(560, 185) = ( 560 x 185 ) / 20720

GCD(560, 185) = 103600 / 20720

GCD(560, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 678

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

LCM(5, 678) = 3390

GCD(5, 678) = ( 5 x 678 ) / 3390

GCD(5, 678) = 3390 / 3390

GCD(5, 678) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 560, 185, 678, 264 is 1

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1. What is the GCD of 560, 185, 678, 264?

GCD of 560, 185, 678, 264 is 1

2. Where do I get the detailed procedure to find GCD of 560, 185, 678, 264?

You can find a detailed procedure to find GCD of 560, 185, 678, 264 on our page.

3. How to find GCD of 560, 185, 678, 264 on a calculator?

You can find the GCD of 560, 185, 678, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.