GCD of 852, 296, 729, 408 Calculator

Given Input numbers are 852, 296, 729, 408

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 729 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (852, 296, 729, 408) = 1.

Given numbers are 852, 296, 729, 408

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 296 are 2 x 2 x 2 x 37

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

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

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

Given numbers are 852, 296, 729, 408

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

Apply this formula for all numbers.

Step1:

LCM(852, 296) = 63048

GCD(852, 296) = ( 852 x 296 ) / 63048

= 852 / 296

= 852

Step2:

LCM(4, 729) = 2916

GCD(4, 729) = ( 4 x 729 ) / 2916

= 4 / 729

= 4

Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

So, Greatest Common Divisor of 852, 296, 729, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 857, 268, 118
• GCD of 888, 952, 173, 501
• GCD of 486, 349, 880, 203
• GCD of 739, 579, 308, 228
• GCD of 378, 416, 851, 879

Given numbers are 852, 296, 729, 408
The greatest common divisor of numbers 852, 296, 729, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 296, 729, 408 is 1.

1. What is the GCD of 852, 296, 729, 408?

GCD of given numbers 852, 296, 729, 408 is 1

2. How to calculate the greatest common divisor of 852, 296, 729, 408?

We can find the highest common divisor of 852, 296, 729, 408 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 852, 296, 729, 408 i.e 1.

3. How can I use the GCD of 852, 296, 729, 408Calculator?

Out the numbers 852, 296, 729, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.