Online GCD Calculator is useful to find the GCD of 456, 165, 507, 648 quickly. Get the easiest ways to solve the greatest common divisor of 456, 165, 507, 648 i.e 3 in different methods as follows.
Given Input numbers are 456, 165, 507, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (456, 165, 507, 648) = 3.
Given numbers are 456, 165, 507, 648
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 165 are 3 x 5 x 11
Prime factors of 507 are 3 x 13 x 13
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 456, 165, 507, 648 is 3.
Given numbers are 456, 165, 507, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 165) = 25080
GCD(456, 165) = ( 456 x 165 ) / 25080
= 456 / 165
= 456
Step2:
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
= 3 / 507
= 3
Step3:
LCM(3, 648) = 648
GCD(3, 648) = ( 3 x 648 ) / 648
= 3 / 648
= 3
So, Greatest Common Divisor of 456, 165, 507, 648 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 165, 507, 648
The greatest common divisor of numbers 456, 165, 507, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 165, 507, 648 is 3.
1. What is the GCD of 456, 165, 507, 648?
GCD of given numbers 456, 165, 507, 648 is 3
2. How to calculate the greatest common divisor of 456, 165, 507, 648?
We can find the highest common divisor of 456, 165, 507, 648 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 456, 165, 507, 648 i.e 3.
3. How can I use the GCD of 456, 165, 507, 648Calculator?
Out the numbers 456, 165, 507, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.