GCD of 408, 912, 729, 291 Calculator

Given Input numbers are 408, 912, 729, 291

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 729 :

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

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (408, 912, 729, 291) = 3.

Given numbers are 408, 912, 729, 291

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

Prime factors of 291 are 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 408, 912, 729, 291 is 3.

Given numbers are 408, 912, 729, 291

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

Apply this formula for all numbers.

Step1:

LCM(408, 912) = 15504

GCD(408, 912) = ( 408 x 912 ) / 15504

= 408 / 912

= 408

Step2:

LCM(24, 729) = 5832

GCD(24, 729) = ( 24 x 729 ) / 5832

= 24 / 729

= 24

Step3:

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

= 3 / 291

= 3

So, Greatest Common Divisor of 408, 912, 729, 291 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 157, 227, 294
• GCD of 360, 471, 603, 409
• GCD of 617, 859, 468, 475
• GCD of 789, 801, 276, 139
• GCD of 889, 687, 213, 195

Given numbers are 408, 912, 729, 291
The greatest common divisor of numbers 408, 912, 729, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 912, 729, 291 is 3.

1. What is the GCD of 408, 912, 729, 291?

GCD of given numbers 408, 912, 729, 291 is 3

2. How to calculate the greatest common divisor of 408, 912, 729, 291?

We can find the highest common divisor of 408, 912, 729, 291 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 408, 912, 729, 291 i.e 3.

3. How can I use the GCD of 408, 912, 729, 291Calculator?

Out the numbers 408, 912, 729, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.