Online GCD Calculator is useful to find the GCD of 441, 132, 170, 918 quickly. Get the easiest ways to solve the greatest common divisor of 441, 132, 170, 918 i.e 1 in different methods as follows.
Given Input numbers are 441, 132, 170, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (441, 132, 170, 918) = 1.
Given numbers are 441, 132, 170, 918
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 170 are 2 x 5 x 17
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 441, 132, 170, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 132) = 19404
GCD(441, 132) = ( 441 x 132 ) / 19404
= 441 / 132
= 441
Step2:
LCM(3, 170) = 510
GCD(3, 170) = ( 3 x 170 ) / 510
= 3 / 170
= 3
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 441, 132, 170, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 132, 170, 918
The greatest common divisor of numbers 441, 132, 170, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 132, 170, 918 is 1.
1. What is the GCD of 441, 132, 170, 918?
GCD of given numbers 441, 132, 170, 918 is 1
2. How to calculate the greatest common divisor of 441, 132, 170, 918?
We can find the highest common divisor of 441, 132, 170, 918 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 441, 132, 170, 918 i.e 1.
3. How can I use the GCD of 441, 132, 170, 918Calculator?
Out the numbers 441, 132, 170, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.