GCD of 456, 297, 516, 560 Calculator

Given Input numbers are 456, 297, 516, 560

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

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 456, 297, 516, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 297, 516, 560 is 1.

Therefore, GCD of numbers 456, 297, 516, 560 is 1

Given Input Data is 456, 297, 516, 560

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(456, 297) = 45144

GCD(456, 297) = ( 456 x 297 ) / 45144

GCD(456, 297) = 135432 / 45144

GCD(456, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 516

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

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

GCD(3, 516) = 1548 / 516

GCD(3, 516) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 560

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

LCM(3, 560) = 1680

GCD(3, 560) = ( 3 x 560 ) / 1680

GCD(3, 560) = 1680 / 1680

GCD(3, 560) = 1

GCD of 456, 297, 516, 560 is 1

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1. What is the GCD of 456, 297, 516, 560?

GCD of 456, 297, 516, 560 is 1

2. Where do I get the detailed procedure to find GCD of 456, 297, 516, 560?

You can find a detailed procedure to find GCD of 456, 297, 516, 560 on our page.

3. How to find GCD of 456, 297, 516, 560 on a calculator?

You can find the GCD of 456, 297, 516, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.