Online GCD Calculator is useful to find the GCD of 729, 144, 740 quickly. Get the easiest ways to solve the greatest common divisor of 729, 144, 740 i.e 1 in different methods as follows.
Given Input numbers are 729, 144, 740
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
GCD of numbers is the greatest common divisor
So, the GCD (729, 144, 740) = 1.
Given numbers are 729, 144, 740
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 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 740 are 2 x 2 x 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 144, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 144) = 11664
GCD(729, 144) = ( 729 x 144 ) / 11664
= 729 / 144
= 729
Step2:
LCM(9, 740) = 6660
GCD(9, 740) = ( 9 x 740 ) / 6660
= 9 / 740
= 9
So, Greatest Common Divisor of 729, 144, 740 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 144, 740
The greatest common divisor of numbers 729, 144, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 144, 740 is 1.
1. What is the GCD of 729, 144, 740?
GCD of given numbers 729, 144, 740 is 1
2. How to calculate the greatest common divisor of 729, 144, 740?
We can find the highest common divisor of 729, 144, 740 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, 144, 740 i.e 1.
3. How can I use the GCD of 729, 144, 740Calculator?
Out the numbers 729, 144, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.