GCD of 456, 764, 173, 814 Calculator

Given Input numbers are 456, 764, 173, 814

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 456, 764, 173, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 764, 173, 814 is 1.

Therefore, GCD of numbers 456, 764, 173, 814 is 1

Given Input Data is 456, 764, 173, 814

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 764 is 2 x 2 x 191

Prime Factorization of 173 is 173

Prime Factorization of 814 is 2 x 11 x 37

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, 764) = 87096

GCD(456, 764) = ( 456 x 764 ) / 87096

GCD(456, 764) = 348384 / 87096

GCD(456, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 173

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

LCM(4, 173) = 692

GCD(4, 173) = ( 4 x 173 ) / 692

GCD(4, 173) = 692 / 692

GCD(4, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 456, 764, 173, 814 is 1

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• GCD of 174, 622, 268, 885
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1. What is the GCD of 456, 764, 173, 814?

GCD of 456, 764, 173, 814 is 1

2. Where do I get the detailed procedure to find GCD of 456, 764, 173, 814?

You can find a detailed procedure to find GCD of 456, 764, 173, 814 on our page.

3. How to find GCD of 456, 764, 173, 814 on a calculator?

You can find the GCD of 456, 764, 173, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.