GCD of 456, 560, 681, 759 Calculator

Given Input numbers are 456, 560, 681, 759

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 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 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 456, 560, 681, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 560, 681, 759 is 1.

Therefore, GCD of numbers 456, 560, 681, 759 is 1

Given Input Data is 456, 560, 681, 759

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 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 681 is 3 x 227

Prime Factorization of 759 is 3 x 11 x 23

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, 560) = 31920

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

GCD(456, 560) = 255360 / 31920

GCD(456, 560) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 681

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

LCM(8, 681) = 5448

GCD(8, 681) = ( 8 x 681 ) / 5448

GCD(8, 681) = 5448 / 5448

GCD(8, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 456, 560, 681, 759 is 1

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1. What is the GCD of 456, 560, 681, 759?

GCD of 456, 560, 681, 759 is 1

2. Where do I get the detailed procedure to find GCD of 456, 560, 681, 759?

You can find a detailed procedure to find GCD of 456, 560, 681, 759 on our page.

3. How to find GCD of 456, 560, 681, 759 on a calculator?

You can find the GCD of 456, 560, 681, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.