Online GCD Calculator is useful to find the GCD of 312, 533, 165, 135 quickly. Get the easiest ways to solve the greatest common divisor of 312, 533, 165, 135 i.e 1 in different methods as follows.
Given Input numbers are 312, 533, 165, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
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 (312, 533, 165, 135) = 1.
Given numbers are 312, 533, 165, 135
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 533 are 13 x 41
Prime factors of 165 are 3 x 5 x 11
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 312, 533, 165, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 533) = 12792
GCD(312, 533) = ( 312 x 533 ) / 12792
= 312 / 533
= 312
Step2:
LCM(13, 165) = 2145
GCD(13, 165) = ( 13 x 165 ) / 2145
= 13 / 165
= 13
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 312, 533, 165, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 533, 165, 135
The greatest common divisor of numbers 312, 533, 165, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 533, 165, 135 is 1.
1. What is the GCD of 312, 533, 165, 135?
GCD of given numbers 312, 533, 165, 135 is 1
2. How to calculate the greatest common divisor of 312, 533, 165, 135?
We can find the highest common divisor of 312, 533, 165, 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 312, 533, 165, 135 i.e 1.
3. How can I use the GCD of 312, 533, 165, 135Calculator?
Out the numbers 312, 533, 165, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.