GCD of 729, 630, 261, 399 Calculator

Given Input numbers are 729, 630, 261, 399

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 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (729, 630, 261, 399) = 3.

Given numbers are 729, 630, 261, 399

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 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 261 are 3 x 3 x 29

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 729, 630, 261, 399 is 3.

Given numbers are 729, 630, 261, 399

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

Apply this formula for all numbers.

Step1:

LCM(729, 630) = 51030

GCD(729, 630) = ( 729 x 630 ) / 51030

= 729 / 630

= 729

Step2:

LCM(9, 261) = 261

GCD(9, 261) = ( 9 x 261 ) / 261

= 9 / 261

= 9

Step3:

LCM(9, 399) = 1197

GCD(9, 399) = ( 9 x 399 ) / 1197

= 9 / 399

= 9

So, Greatest Common Divisor of 729, 630, 261, 399 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 178, 980, 398
• GCD of 993, 112, 302, 906
• GCD of 472, 115, 996, 587
• GCD of 655, 493, 516, 319
• GCD of 535, 395, 168, 375

Given numbers are 729, 630, 261, 399
The greatest common divisor of numbers 729, 630, 261, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 630, 261, 399 is 3.

1. What is the GCD of 729, 630, 261, 399?

GCD of given numbers 729, 630, 261, 399 is 3

2. How to calculate the greatest common divisor of 729, 630, 261, 399?

We can find the highest common divisor of 729, 630, 261, 399 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, 630, 261, 399 i.e 3.

3. How can I use the GCD of 729, 630, 261, 399Calculator?

Out the numbers 729, 630, 261, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.