Online GCD Calculator is useful to find the GCD of 108, 599, 164, 988 quickly. Get the easiest ways to solve the greatest common divisor of 108, 599, 164, 988 i.e 1 in different methods as follows.
Given Input numbers are 108, 599, 164, 988
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 599 :
The positive integer divisors of 599 that completely divides 599 are.
1, 599
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (108, 599, 164, 988) = 1.
Given numbers are 108, 599, 164, 988
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 599 are 599
Prime factors of 164 are 2 x 2 x 41
Prime factors of 988 are 2 x 2 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 599, 164, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 599) = 64692
GCD(108, 599) = ( 108 x 599 ) / 64692
= 108 / 599
= 108
Step2:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
Step3:
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
= 1 / 988
= 1
So, Greatest Common Divisor of 108, 599, 164, 988 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 599, 164, 988
The greatest common divisor of numbers 108, 599, 164, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 599, 164, 988 is 1.
1. What is the GCD of 108, 599, 164, 988?
GCD of given numbers 108, 599, 164, 988 is 1
2. How to calculate the greatest common divisor of 108, 599, 164, 988?
We can find the highest common divisor of 108, 599, 164, 988 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 108, 599, 164, 988 i.e 1.
3. How can I use the GCD of 108, 599, 164, 988Calculator?
Out the numbers 108, 599, 164, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.