GCD of 729, 676, 457, 972 Calculator

Given Input numbers are 729, 676, 457, 972

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (729, 676, 457, 972) = 1.

Given numbers are 729, 676, 457, 972

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 676 are 2 x 2 x 13 x 13

Prime factors of 457 are 457

Prime factors of 972 are 2 x 2 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 729, 676, 457, 972

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

Apply this formula for all numbers.

Step1:

LCM(729, 676) = 492804

GCD(729, 676) = ( 729 x 676 ) / 492804

= 729 / 676

= 729

Step2:

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

= 1 / 457

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 729, 676, 457, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 530, 939, 191
• GCD of 770, 428, 131, 429
• GCD of 243, 707, 424, 455
• GCD of 964, 230, 496, 662
• GCD of 908, 872, 429, 924

Given numbers are 729, 676, 457, 972
The greatest common divisor of numbers 729, 676, 457, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 676, 457, 972 is 1.

1. What is the GCD of 729, 676, 457, 972?

GCD of given numbers 729, 676, 457, 972 is 1

2. How to calculate the greatest common divisor of 729, 676, 457, 972?

We can find the highest common divisor of 729, 676, 457, 972 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, 676, 457, 972 i.e 1.

3. How can I use the GCD of 729, 676, 457, 972Calculator?

Out the numbers 729, 676, 457, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.