GCD of 56, 457, 821, 560 Calculator

Given Input numbers are 56, 457, 821, 560

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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

Greatest Common Divisior

We found the divisors of 56, 457, 821, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 457, 821, 560 is 1.

Therefore, GCD of numbers 56, 457, 821, 560 is 1

Given Input Data is 56, 457, 821, 560

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 457 is 457

Prime Factorization of 821 is 821

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(56, 457) = 25592

GCD(56, 457) = ( 56 x 457 ) / 25592

GCD(56, 457) = 25592 / 25592

GCD(56, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 56, 457, 821, 560 is 1

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• GCD of 57, 225, 591, 207
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1. What is the GCD of 56, 457, 821, 560?

GCD of 56, 457, 821, 560 is 1

2. Where do I get the detailed procedure to find GCD of 56, 457, 821, 560?

You can find a detailed procedure to find GCD of 56, 457, 821, 560 on our page.

3. How to find GCD of 56, 457, 821, 560 on a calculator?

You can find the GCD of 56, 457, 821, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.