GCD of 560, 456, 78, 563 Calculator

Given Input numbers are 560, 456, 78, 563

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 560, 456, 78, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 456, 78, 563 is 1.

Therefore, GCD of numbers 560, 456, 78, 563 is 1

Given Input Data is 560, 456, 78, 563

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 563 is 563

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, 456) = 31920

GCD(560, 456) = ( 560 x 456 ) / 31920

GCD(560, 456) = 255360 / 31920

GCD(560, 456) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 78

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

LCM(8, 78) = 312

GCD(8, 78) = ( 8 x 78 ) / 312

GCD(8, 78) = 624 / 312

GCD(8, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

GCD of 560, 456, 78, 563 is 1

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1. What is the GCD of 560, 456, 78, 563?

GCD of 560, 456, 78, 563 is 1

2. Where do I get the detailed procedure to find GCD of 560, 456, 78, 563?

You can find a detailed procedure to find GCD of 560, 456, 78, 563 on our page.

3. How to find GCD of 560, 456, 78, 563 on a calculator?

You can find the GCD of 560, 456, 78, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.