Online GCD Calculator is useful to find the GCD of 730, 202, 729, 960 quickly. Get the easiest ways to solve the greatest common divisor of 730, 202, 729, 960 i.e 1 in different methods as follows.
Given Input numbers are 730, 202, 729, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (730, 202, 729, 960) = 1.
Given numbers are 730, 202, 729, 960
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 202 are 2 x 101
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 730, 202, 729, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 202) = 73730
GCD(730, 202) = ( 730 x 202 ) / 73730
= 730 / 202
= 730
Step2:
LCM(2, 729) = 1458
GCD(2, 729) = ( 2 x 729 ) / 1458
= 2 / 729
= 2
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 730, 202, 729, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 202, 729, 960
The greatest common divisor of numbers 730, 202, 729, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 202, 729, 960 is 1.
1. What is the GCD of 730, 202, 729, 960?
GCD of given numbers 730, 202, 729, 960 is 1
2. How to calculate the greatest common divisor of 730, 202, 729, 960?
We can find the highest common divisor of 730, 202, 729, 960 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 730, 202, 729, 960 i.e 1.
3. How can I use the GCD of 730, 202, 729, 960Calculator?
Out the numbers 730, 202, 729, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.