Online GCD Calculator is useful to find the GCD of 729, 357, 453, 195 quickly. Get the easiest ways to solve the greatest common divisor of 729, 357, 453, 195 i.e 3 in different methods as follows.
Given Input numbers are 729, 357, 453, 195
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
GCD of numbers is the greatest common divisor
So, the GCD (729, 357, 453, 195) = 3.
Given numbers are 729, 357, 453, 195
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 357 are 3 x 7 x 17
Prime factors of 453 are 3 x 151
Prime factors of 195 are 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 729, 357, 453, 195 is 3.
Given numbers are 729, 357, 453, 195
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 357) = 86751
GCD(729, 357) = ( 729 x 357 ) / 86751
= 729 / 357
= 729
Step2:
LCM(3, 453) = 453
GCD(3, 453) = ( 3 x 453 ) / 453
= 3 / 453
= 3
Step3:
LCM(3, 195) = 195
GCD(3, 195) = ( 3 x 195 ) / 195
= 3 / 195
= 3
So, Greatest Common Divisor of 729, 357, 453, 195 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 357, 453, 195
The greatest common divisor of numbers 729, 357, 453, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 357, 453, 195 is 3.
1. What is the GCD of 729, 357, 453, 195?
GCD of given numbers 729, 357, 453, 195 is 3
2. How to calculate the greatest common divisor of 729, 357, 453, 195?
We can find the highest common divisor of 729, 357, 453, 195 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, 357, 453, 195 i.e 3.
3. How can I use the GCD of 729, 357, 453, 195Calculator?
Out the numbers 729, 357, 453, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.