Online GCD Calculator is useful to find the GCD of 729, 787, 658, 217 quickly. Get the easiest ways to solve the greatest common divisor of 729, 787, 658, 217 i.e 1 in different methods as follows.
Given Input numbers are 729, 787, 658, 217
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 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (729, 787, 658, 217) = 1.
Given numbers are 729, 787, 658, 217
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 787 are 787
Prime factors of 658 are 2 x 7 x 47
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 787, 658, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 787) = 573723
GCD(729, 787) = ( 729 x 787 ) / 573723
= 729 / 787
= 729
Step2:
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
= 1 / 658
= 1
Step3:
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
= 1 / 217
= 1
So, Greatest Common Divisor of 729, 787, 658, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 787, 658, 217
The greatest common divisor of numbers 729, 787, 658, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 787, 658, 217 is 1.
1. What is the GCD of 729, 787, 658, 217?
GCD of given numbers 729, 787, 658, 217 is 1
2. How to calculate the greatest common divisor of 729, 787, 658, 217?
We can find the highest common divisor of 729, 787, 658, 217 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, 787, 658, 217 i.e 1.
3. How can I use the GCD of 729, 787, 658, 217Calculator?
Out the numbers 729, 787, 658, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.