GCD of 729, 624, 656, 164 Calculator

Given Input numbers are 729, 624, 656, 164

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 729, 624, 656, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 624, 656, 164 is 1.

Therefore, GCD of numbers 729, 624, 656, 164 is 1

Given Input Data is 729, 624, 656, 164

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 164 is 2 x 2 x 41

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(729, 624) = 151632

GCD(729, 624) = ( 729 x 624 ) / 151632

GCD(729, 624) = 454896 / 151632

GCD(729, 624) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 656

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

LCM(3, 656) = 1968

GCD(3, 656) = ( 3 x 656 ) / 1968

GCD(3, 656) = 1968 / 1968

GCD(3, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 729, 624, 656, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 743, 634, 608
• GCD of 555, 208, 942, 469
• GCD of 137, 655, 728, 865
• GCD of 860, 955, 801, 215
• GCD of 162, 566, 922, 231

1. What is the GCD of 729, 624, 656, 164?

GCD of 729, 624, 656, 164 is 1

2. Where do I get the detailed procedure to find GCD of 729, 624, 656, 164?

You can find a detailed procedure to find GCD of 729, 624, 656, 164 on our page.

3. How to find GCD of 729, 624, 656, 164 on a calculator?

You can find the GCD of 729, 624, 656, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.