Online GCD Calculator is useful to find the GCD of 316, 153, 405, 180 quickly. Get the easiest ways to solve the greatest common divisor of 316, 153, 405, 180 i.e 1 in different methods as follows.
Given Input numbers are 316, 153, 405, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (316, 153, 405, 180) = 1.
Given numbers are 316, 153, 405, 180
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 153 are 3 x 3 x 17
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 316, 153, 405, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 153) = 48348
GCD(316, 153) = ( 316 x 153 ) / 48348
= 316 / 153
= 316
Step2:
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
= 1 / 405
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 316, 153, 405, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 153, 405, 180
The greatest common divisor of numbers 316, 153, 405, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 153, 405, 180 is 1.
1. What is the GCD of 316, 153, 405, 180?
GCD of given numbers 316, 153, 405, 180 is 1
2. How to calculate the greatest common divisor of 316, 153, 405, 180?
We can find the highest common divisor of 316, 153, 405, 180 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 316, 153, 405, 180 i.e 1.
3. How can I use the GCD of 316, 153, 405, 180Calculator?
Out the numbers 316, 153, 405, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.