Online GCD Calculator is useful to find the GCD of 432, 218, 967, 171 quickly. Get the easiest ways to solve the greatest common divisor of 432, 218, 967, 171 i.e 1 in different methods as follows.
Given Input numbers are 432, 218, 967, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (432, 218, 967, 171) = 1.
Given numbers are 432, 218, 967, 171
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 218 are 2 x 109
Prime factors of 967 are 967
Prime factors of 171 are 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 218, 967, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 218) = 47088
GCD(432, 218) = ( 432 x 218 ) / 47088
= 432 / 218
= 432
Step2:
LCM(2, 967) = 1934
GCD(2, 967) = ( 2 x 967 ) / 1934
= 2 / 967
= 2
Step3:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 432, 218, 967, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 218, 967, 171
The greatest common divisor of numbers 432, 218, 967, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 218, 967, 171 is 1.
1. What is the GCD of 432, 218, 967, 171?
GCD of given numbers 432, 218, 967, 171 is 1
2. How to calculate the greatest common divisor of 432, 218, 967, 171?
We can find the highest common divisor of 432, 218, 967, 171 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 432, 218, 967, 171 i.e 1.
3. How can I use the GCD of 432, 218, 967, 171Calculator?
Out the numbers 432, 218, 967, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.