GCD of 729, 516, 411, 438 Calculator

Given Input numbers are 729, 516, 411, 438

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (729, 516, 411, 438) = 3.

Given numbers are 729, 516, 411, 438

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 516 are 2 x 2 x 3 x 43

Prime factors of 411 are 3 x 137

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 729, 516, 411, 438 is 3.

Given numbers are 729, 516, 411, 438

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

Apply this formula for all numbers.

Step1:

LCM(729, 516) = 125388

GCD(729, 516) = ( 729 x 516 ) / 125388

= 729 / 516

= 729

Step2:

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

= 3 / 411

= 3

Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

So, Greatest Common Divisor of 729, 516, 411, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 787, 710, 565
• GCD of 420, 666, 260, 188
• GCD of 980, 776, 887, 719
• GCD of 826, 854, 446, 151
• GCD of 262, 928, 929, 464

Given numbers are 729, 516, 411, 438
The greatest common divisor of numbers 729, 516, 411, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 516, 411, 438 is 3.

1. What is the GCD of 729, 516, 411, 438?

GCD of given numbers 729, 516, 411, 438 is 3

2. How to calculate the greatest common divisor of 729, 516, 411, 438?

We can find the highest common divisor of 729, 516, 411, 438 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, 516, 411, 438 i.e 3.

3. How can I use the GCD of 729, 516, 411, 438Calculator?

Out the numbers 729, 516, 411, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.