Online GCD Calculator is useful to find the GCD of 990, 709, 920, 165 quickly. Get the easiest ways to solve the greatest common divisor of 990, 709, 920, 165 i.e 1 in different methods as follows.
Given Input numbers are 990, 709, 920, 165
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 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (990, 709, 920, 165) = 1.
Given numbers are 990, 709, 920, 165
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 709 are 709
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 165 are 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 709, 920, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 709) = 701910
GCD(990, 709) = ( 990 x 709 ) / 701910
= 990 / 709
= 990
Step2:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
Step3:
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
= 1 / 165
= 1
So, Greatest Common Divisor of 990, 709, 920, 165 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 709, 920, 165
The greatest common divisor of numbers 990, 709, 920, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 709, 920, 165 is 1.
1. What is the GCD of 990, 709, 920, 165?
GCD of given numbers 990, 709, 920, 165 is 1
2. How to calculate the greatest common divisor of 990, 709, 920, 165?
We can find the highest common divisor of 990, 709, 920, 165 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, 709, 920, 165 i.e 1.
3. How can I use the GCD of 990, 709, 920, 165Calculator?
Out the numbers 990, 709, 920, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.