Online GCD Calculator is useful to find the GCD of 272, 405, 267, 180 quickly. Get the easiest ways to solve the greatest common divisor of 272, 405, 267, 180 i.e 1 in different methods as follows.
Given Input numbers are 272, 405, 267, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
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 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
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 (272, 405, 267, 180) = 1.
Given numbers are 272, 405, 267, 180
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 267 are 3 x 89
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 272, 405, 267, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 405) = 110160
GCD(272, 405) = ( 272 x 405 ) / 110160
= 272 / 405
= 272
Step2:
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
= 1 / 267
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 272, 405, 267, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 405, 267, 180
The greatest common divisor of numbers 272, 405, 267, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 405, 267, 180 is 1.
1. What is the GCD of 272, 405, 267, 180?
GCD of given numbers 272, 405, 267, 180 is 1
2. How to calculate the greatest common divisor of 272, 405, 267, 180?
We can find the highest common divisor of 272, 405, 267, 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 272, 405, 267, 180 i.e 1.
3. How can I use the GCD of 272, 405, 267, 180Calculator?
Out the numbers 272, 405, 267, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.