Online GCD Calculator is useful to find the GCD of 990, 966, 734, 729 quickly. Get the easiest ways to solve the greatest common divisor of 990, 966, 734, 729 i.e 1 in different methods as follows.
Given Input numbers are 990, 966, 734, 729
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
GCD of numbers is the greatest common divisor
So, the GCD (990, 966, 734, 729) = 1.
Given numbers are 990, 966, 734, 729
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 734 are 2 x 367
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 966, 734, 729
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 966) = 159390
GCD(990, 966) = ( 990 x 966 ) / 159390
= 990 / 966
= 990
Step2:
LCM(6, 734) = 2202
GCD(6, 734) = ( 6 x 734 ) / 2202
= 6 / 734
= 6
Step3:
LCM(2, 729) = 1458
GCD(2, 729) = ( 2 x 729 ) / 1458
= 2 / 729
= 2
So, Greatest Common Divisor of 990, 966, 734, 729 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 966, 734, 729
The greatest common divisor of numbers 990, 966, 734, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 966, 734, 729 is 1.
1. What is the GCD of 990, 966, 734, 729?
GCD of given numbers 990, 966, 734, 729 is 1
2. How to calculate the greatest common divisor of 990, 966, 734, 729?
We can find the highest common divisor of 990, 966, 734, 729 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 990, 966, 734, 729 i.e 1.
3. How can I use the GCD of 990, 966, 734, 729Calculator?
Out the numbers 990, 966, 734, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.