Online GCD Calculator is useful to find the GCD of 272, 232, 567, 135 quickly. Get the easiest ways to solve the greatest common divisor of 272, 232, 567, 135 i.e 1 in different methods as follows.
Given Input numbers are 272, 232, 567, 135
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 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (272, 232, 567, 135) = 1.
Given numbers are 272, 232, 567, 135
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 232 are 2 x 2 x 2 x 29
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 232, 567, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 232) = 7888
GCD(272, 232) = ( 272 x 232 ) / 7888
= 272 / 232
= 272
Step2:
LCM(8, 567) = 4536
GCD(8, 567) = ( 8 x 567 ) / 4536
= 8 / 567
= 8
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 272, 232, 567, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 232, 567, 135
The greatest common divisor of numbers 272, 232, 567, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 232, 567, 135 is 1.
1. What is the GCD of 272, 232, 567, 135?
GCD of given numbers 272, 232, 567, 135 is 1
2. How to calculate the greatest common divisor of 272, 232, 567, 135?
We can find the highest common divisor of 272, 232, 567, 135 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, 232, 567, 135 i.e 1.
3. How can I use the GCD of 272, 232, 567, 135Calculator?
Out the numbers 272, 232, 567, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.