GCD of 364, 104, 644, 729 Calculator

Given Input numbers are 364, 104, 644, 729

In the factoring method, we have to find the divisors of all numbers

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (364, 104, 644, 729) = 1.

Given numbers are 364, 104, 644, 729

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 364, 104, 644, 729

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(364, 104) = 728

GCD(364, 104) = ( 364 x 104 ) / 728

= 364 / 104

= 364

Step2:

LCM(52, 644) = 8372

GCD(52, 644) = ( 52 x 644 ) / 8372

= 52 / 644

= 52

Step3:

LCM(4, 729) = 2916

GCD(4, 729) = ( 4 x 729 ) / 2916

= 4 / 729

= 4

So, Greatest Common Divisor of 364, 104, 644, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 190, 695, 216
• GCD of 766, 525, 206, 336
• GCD of 493, 586, 450, 139
• GCD of 241, 295, 747, 799
• GCD of 110, 286, 500, 696

Given numbers are 364, 104, 644, 729
The greatest common divisor of numbers 364, 104, 644, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 104, 644, 729 is 1.

1. What is the GCD of 364, 104, 644, 729?

GCD of given numbers 364, 104, 644, 729 is 1

2. How to calculate the greatest common divisor of 364, 104, 644, 729?

We can find the highest common divisor of 364, 104, 644, 729 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 364, 104, 644, 729 i.e 1.

3. How can I use the GCD of 364, 104, 644, 729Calculator?

Out the numbers 364, 104, 644, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.