Online GCD Calculator is useful to find the GCD of 852, 296, 729, 408 quickly. Get the easiest ways to solve the greatest common divisor of 852, 296, 729, 408 i.e 1 in different methods as follows.
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.
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.