Online GCD Calculator is useful to find the GCD of 465, 879, 507, 327 quickly. Get the easiest ways to solve the greatest common divisor of 465, 879, 507, 327 i.e 3 in different methods as follows.
Given Input numbers are 465, 879, 507, 327
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
GCD of numbers is the greatest common divisor
So, the GCD (465, 879, 507, 327) = 3.
Given numbers are 465, 879, 507, 327
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 879 are 3 x 293
Prime factors of 507 are 3 x 13 x 13
Prime factors of 327 are 3 x 109
The highest common occurrence is 31
Therefore, GCD of 465, 879, 507, 327 is 3.
Given numbers are 465, 879, 507, 327
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 879) = 136245
GCD(465, 879) = ( 465 x 879 ) / 136245
= 465 / 879
= 465
Step2:
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
= 3 / 507
= 3
Step3:
LCM(3, 327) = 327
GCD(3, 327) = ( 3 x 327 ) / 327
= 3 / 327
= 3
So, Greatest Common Divisor of 465, 879, 507, 327 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 879, 507, 327
The greatest common divisor of numbers 465, 879, 507, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 879, 507, 327 is 3.
1. What is the GCD of 465, 879, 507, 327?
GCD of given numbers 465, 879, 507, 327 is 3
2. How to calculate the greatest common divisor of 465, 879, 507, 327?
We can find the highest common divisor of 465, 879, 507, 327 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 465, 879, 507, 327 i.e 3.
3. How can I use the GCD of 465, 879, 507, 327Calculator?
Out the numbers 465, 879, 507, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.