Online GCD Calculator is useful to find the GCD of 942, 405, 170, 171 quickly. Get the easiest ways to solve the greatest common divisor of 942, 405, 170, 171 i.e 1 in different methods as follows.
Given Input numbers are 942, 405, 170, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
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 (942, 405, 170, 171) = 1.
Given numbers are 942, 405, 170, 171
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 170 are 2 x 5 x 17
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 942, 405, 170, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 405) = 127170
GCD(942, 405) = ( 942 x 405 ) / 127170
= 942 / 405
= 942
Step2:
LCM(3, 170) = 510
GCD(3, 170) = ( 3 x 170 ) / 510
= 3 / 170
= 3
Step3:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 942, 405, 170, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 405, 170, 171
The greatest common divisor of numbers 942, 405, 170, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 405, 170, 171 is 1.
1. What is the GCD of 942, 405, 170, 171?
GCD of given numbers 942, 405, 170, 171 is 1
2. How to calculate the greatest common divisor of 942, 405, 170, 171?
We can find the highest common divisor of 942, 405, 170, 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 942, 405, 170, 171 i.e 1.
3. How can I use the GCD of 942, 405, 170, 171Calculator?
Out the numbers 942, 405, 170, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.