Online GCD Calculator is useful to find the GCD of 162, 117, 436, 217 quickly. Get the easiest ways to solve the greatest common divisor of 162, 117, 436, 217 i.e 1 in different methods as follows.
Given Input numbers are 162, 117, 436, 217
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (162, 117, 436, 217) = 1.
Given numbers are 162, 117, 436, 217
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 117 are 3 x 3 x 13
Prime factors of 436 are 2 x 2 x 109
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 162, 117, 436, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 117) = 2106
GCD(162, 117) = ( 162 x 117 ) / 2106
= 162 / 117
= 162
Step2:
LCM(9, 436) = 3924
GCD(9, 436) = ( 9 x 436 ) / 3924
= 9 / 436
= 9
Step3:
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
= 1 / 217
= 1
So, Greatest Common Divisor of 162, 117, 436, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 117, 436, 217
The greatest common divisor of numbers 162, 117, 436, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 117, 436, 217 is 1.
1. What is the GCD of 162, 117, 436, 217?
GCD of given numbers 162, 117, 436, 217 is 1
2. How to calculate the greatest common divisor of 162, 117, 436, 217?
We can find the highest common divisor of 162, 117, 436, 217 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 162, 117, 436, 217 i.e 1.
3. How can I use the GCD of 162, 117, 436, 217Calculator?
Out the numbers 162, 117, 436, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.