Online GCD Calculator is useful to find the GCD of 720, 660, 22, 909 quickly. Get the easiest ways to solve the greatest common divisor of 720, 660, 22, 909 i.e 1 in different methods as follows.
Given Input numbers are 720, 660, 22, 909
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (720, 660, 22, 909) = 1.
Given numbers are 720, 660, 22, 909
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 22 are 2 x 11
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 660, 22, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 660) = 7920
GCD(720, 660) = ( 720 x 660 ) / 7920
= 720 / 660
= 720
Step2:
LCM(60, 22) = 660
GCD(60, 22) = ( 60 x 22 ) / 660
= 60 / 22
= 60
Step3:
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
= 2 / 909
= 2
So, Greatest Common Divisor of 720, 660, 22, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 660, 22, 909
The greatest common divisor of numbers 720, 660, 22, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 660, 22, 909 is 1.
1. What is the GCD of 720, 660, 22, 909?
GCD of given numbers 720, 660, 22, 909 is 1
2. How to calculate the greatest common divisor of 720, 660, 22, 909?
We can find the highest common divisor of 720, 660, 22, 909 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 720, 660, 22, 909 i.e 1.
3. How can I use the GCD of 720, 660, 22, 909Calculator?
Out the numbers 720, 660, 22, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.