GCD of 164, 459, 964, 713 Calculator

Given Input numbers are 164, 459, 964, 713

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 164, 459, 964, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 459, 964, 713 is 1.

Therefore, GCD of numbers 164, 459, 964, 713 is 1

Given Input Data is 164, 459, 964, 713

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 713 is 23 x 31

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(164, 459) = 75276

GCD(164, 459) = ( 164 x 459 ) / 75276

GCD(164, 459) = 75276 / 75276

GCD(164, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 164, 459, 964, 713 is 1

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1. What is the GCD of 164, 459, 964, 713?

GCD of 164, 459, 964, 713 is 1

2. Where do I get the detailed procedure to find GCD of 164, 459, 964, 713?

You can find a detailed procedure to find GCD of 164, 459, 964, 713 on our page.

3. How to find GCD of 164, 459, 964, 713 on a calculator?

You can find the GCD of 164, 459, 964, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.