GCD of 729, 401, 824, 704 Calculator

Given Input numbers are 729, 401, 824, 704

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

Divisors of 729 :

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

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

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (729, 401, 824, 704) = 1.

Given numbers are 729, 401, 824, 704

The list of prime factors of all numbers are

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

Prime factors of 401 are 401

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 729, 401, 824, 704

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

Apply this formula for all numbers.

Step1:

LCM(729, 401) = 292329

GCD(729, 401) = ( 729 x 401 ) / 292329

= 729 / 401

= 729

Step2:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 729, 401, 824, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 625, 448, 217
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Given numbers are 729, 401, 824, 704
The greatest common divisor of numbers 729, 401, 824, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 401, 824, 704 is 1.

1. What is the GCD of 729, 401, 824, 704?

GCD of given numbers 729, 401, 824, 704 is 1

2. How to calculate the greatest common divisor of 729, 401, 824, 704?

We can find the highest common divisor of 729, 401, 824, 704 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 729, 401, 824, 704 i.e 1.

3. How can I use the GCD of 729, 401, 824, 704Calculator?

Out the numbers 729, 401, 824, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.