Online GCD Calculator is useful to find the GCD of 108, 975, 817, 162 quickly. Get the easiest ways to solve the greatest common divisor of 108, 975, 817, 162 i.e 1 in different methods as follows.
Given Input numbers are 108, 975, 817, 162
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 817 :
The positive integer divisors of 817 that completely divides 817 are.
1, 19, 43, 817
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (108, 975, 817, 162) = 1.
Given numbers are 108, 975, 817, 162
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 975 are 3 x 5 x 5 x 13
Prime factors of 817 are 19 x 43
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 975, 817, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 975) = 35100
GCD(108, 975) = ( 108 x 975 ) / 35100
= 108 / 975
= 108
Step2:
LCM(3, 817) = 2451
GCD(3, 817) = ( 3 x 817 ) / 2451
= 3 / 817
= 3
Step3:
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
= 1 / 162
= 1
So, Greatest Common Divisor of 108, 975, 817, 162 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 975, 817, 162
The greatest common divisor of numbers 108, 975, 817, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 975, 817, 162 is 1.
1. What is the GCD of 108, 975, 817, 162?
GCD of given numbers 108, 975, 817, 162 is 1
2. How to calculate the greatest common divisor of 108, 975, 817, 162?
We can find the highest common divisor of 108, 975, 817, 162 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, 975, 817, 162 i.e 1.
3. How can I use the GCD of 108, 975, 817, 162Calculator?
Out the numbers 108, 975, 817, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.