Online GCD Calculator is useful to find the GCD of 165, 525, 180, 272 quickly. Get the easiest ways to solve the greatest common divisor of 165, 525, 180, 272 i.e 1 in different methods as follows.
Given Input numbers are 165, 525, 180, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (165, 525, 180, 272) = 1.
Given numbers are 165, 525, 180, 272
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 165, 525, 180, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 525) = 5775
GCD(165, 525) = ( 165 x 525 ) / 5775
= 165 / 525
= 165
Step2:
LCM(15, 180) = 180
GCD(15, 180) = ( 15 x 180 ) / 180
= 15 / 180
= 15
Step3:
LCM(15, 272) = 4080
GCD(15, 272) = ( 15 x 272 ) / 4080
= 15 / 272
= 15
So, Greatest Common Divisor of 165, 525, 180, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 525, 180, 272
The greatest common divisor of numbers 165, 525, 180, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 525, 180, 272 is 1.
1. What is the GCD of 165, 525, 180, 272?
GCD of given numbers 165, 525, 180, 272 is 1
2. How to calculate the greatest common divisor of 165, 525, 180, 272?
We can find the highest common divisor of 165, 525, 180, 272 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 165, 525, 180, 272 i.e 1.
3. How can I use the GCD of 165, 525, 180, 272Calculator?
Out the numbers 165, 525, 180, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.