Online GCD Calculator is useful to find the GCD of 900, 729, 474, 720 quickly. Get the easiest ways to solve the greatest common divisor of 900, 729, 474, 720 i.e 3 in different methods as follows.
Given Input numbers are 900, 729, 474, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (900, 729, 474, 720) = 3.
Given numbers are 900, 729, 474, 720
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 474 are 2 x 3 x 79
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 900, 729, 474, 720 is 3.
Given numbers are 900, 729, 474, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 729) = 72900
GCD(900, 729) = ( 900 x 729 ) / 72900
= 900 / 729
= 900
Step2:
LCM(9, 474) = 1422
GCD(9, 474) = ( 9 x 474 ) / 1422
= 9 / 474
= 9
Step3:
LCM(3, 720) = 720
GCD(3, 720) = ( 3 x 720 ) / 720
= 3 / 720
= 3
So, Greatest Common Divisor of 900, 729, 474, 720 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 729, 474, 720
The greatest common divisor of numbers 900, 729, 474, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 729, 474, 720 is 3.
1. What is the GCD of 900, 729, 474, 720?
GCD of given numbers 900, 729, 474, 720 is 3
2. How to calculate the greatest common divisor of 900, 729, 474, 720?
We can find the highest common divisor of 900, 729, 474, 720 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 900, 729, 474, 720 i.e 3.
3. How can I use the GCD of 900, 729, 474, 720Calculator?
Out the numbers 900, 729, 474, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.