Online GCD Calculator is useful to find the GCD of 180, 423, 385, 567 quickly. Get the easiest ways to solve the greatest common divisor of 180, 423, 385, 567 i.e 1 in different methods as follows.
Given Input numbers are 180, 423, 385, 567
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
GCD of numbers is the greatest common divisor
So, the GCD (180, 423, 385, 567) = 1.
Given numbers are 180, 423, 385, 567
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 423 are 3 x 3 x 47
Prime factors of 385 are 5 x 7 x 11
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 423, 385, 567
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 423) = 8460
GCD(180, 423) = ( 180 x 423 ) / 8460
= 180 / 423
= 180
Step2:
LCM(9, 385) = 3465
GCD(9, 385) = ( 9 x 385 ) / 3465
= 9 / 385
= 9
Step3:
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
= 1 / 567
= 1
So, Greatest Common Divisor of 180, 423, 385, 567 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 423, 385, 567
The greatest common divisor of numbers 180, 423, 385, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 423, 385, 567 is 1.
1. What is the GCD of 180, 423, 385, 567?
GCD of given numbers 180, 423, 385, 567 is 1
2. How to calculate the greatest common divisor of 180, 423, 385, 567?
We can find the highest common divisor of 180, 423, 385, 567 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 180, 423, 385, 567 i.e 1.
3. How can I use the GCD of 180, 423, 385, 567Calculator?
Out the numbers 180, 423, 385, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.