Online GCD Calculator is useful to find the GCD of 936, 108, 189, 461 quickly. Get the easiest ways to solve the greatest common divisor of 936, 108, 189, 461 i.e 1 in different methods as follows.
Given Input numbers are 936, 108, 189, 461
In the factoring method, we have to find the divisors of all numbers
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
GCD of numbers is the greatest common divisor
So, the GCD (936, 108, 189, 461) = 1.
Given numbers are 936, 108, 189, 461
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 461 are 461
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 936, 108, 189, 461
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 108) = 2808
GCD(936, 108) = ( 936 x 108 ) / 2808
= 936 / 108
= 936
Step2:
LCM(36, 189) = 756
GCD(36, 189) = ( 36 x 189 ) / 756
= 36 / 189
= 36
Step3:
LCM(9, 461) = 4149
GCD(9, 461) = ( 9 x 461 ) / 4149
= 9 / 461
= 9
So, Greatest Common Divisor of 936, 108, 189, 461 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 108, 189, 461
The greatest common divisor of numbers 936, 108, 189, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 108, 189, 461 is 1.
1. What is the GCD of 936, 108, 189, 461?
GCD of given numbers 936, 108, 189, 461 is 1
2. How to calculate the greatest common divisor of 936, 108, 189, 461?
We can find the highest common divisor of 936, 108, 189, 461 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 936, 108, 189, 461 i.e 1.
3. How can I use the GCD of 936, 108, 189, 461Calculator?
Out the numbers 936, 108, 189, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.