Online GCD Calculator is useful to find the GCD of 162, 945, 472, 289 quickly. Get the easiest ways to solve the greatest common divisor of 162, 945, 472, 289 i.e 1 in different methods as follows.
Given Input numbers are 162, 945, 472, 289
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 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (162, 945, 472, 289) = 1.
Given numbers are 162, 945, 472, 289
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 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 162, 945, 472, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 945) = 5670
GCD(162, 945) = ( 162 x 945 ) / 5670
= 162 / 945
= 162
Step2:
LCM(27, 472) = 12744
GCD(27, 472) = ( 27 x 472 ) / 12744
= 27 / 472
= 27
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 162, 945, 472, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 945, 472, 289
The greatest common divisor of numbers 162, 945, 472, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 945, 472, 289 is 1.
1. What is the GCD of 162, 945, 472, 289?
GCD of given numbers 162, 945, 472, 289 is 1
2. How to calculate the greatest common divisor of 162, 945, 472, 289?
We can find the highest common divisor of 162, 945, 472, 289 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, 945, 472, 289 i.e 1.
3. How can I use the GCD of 162, 945, 472, 289Calculator?
Out the numbers 162, 945, 472, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.