Online GCD Calculator is useful to find the GCD of 729, 509, 142, 402 quickly. Get the easiest ways to solve the greatest common divisor of 729, 509, 142, 402 i.e 1 in different methods as follows.
Given Input numbers are 729, 509, 142, 402
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 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (729, 509, 142, 402) = 1.
Given numbers are 729, 509, 142, 402
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 509 are 509
Prime factors of 142 are 2 x 71
Prime factors of 402 are 2 x 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 509, 142, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 509) = 371061
GCD(729, 509) = ( 729 x 509 ) / 371061
= 729 / 509
= 729
Step2:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
Step3:
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
= 1 / 402
= 1
So, Greatest Common Divisor of 729, 509, 142, 402 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 509, 142, 402
The greatest common divisor of numbers 729, 509, 142, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 509, 142, 402 is 1.
1. What is the GCD of 729, 509, 142, 402?
GCD of given numbers 729, 509, 142, 402 is 1
2. How to calculate the greatest common divisor of 729, 509, 142, 402?
We can find the highest common divisor of 729, 509, 142, 402 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, 509, 142, 402 i.e 1.
3. How can I use the GCD of 729, 509, 142, 402Calculator?
Out the numbers 729, 509, 142, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.