Online GCD Calculator is useful to find the GCD of 264, 651, 465 quickly. Get the easiest ways to solve the greatest common divisor of 264, 651, 465 i.e 3 in different methods as follows.
Given Input numbers are 264, 651, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (264, 651, 465) = 3.
Given numbers are 264, 651, 465
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 651 are 3 x 7 x 31
Prime factors of 465 are 3 x 5 x 31
The highest common occurrence is 31
Therefore, GCD of 264, 651, 465 is 3.
Given numbers are 264, 651, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 651) = 57288
GCD(264, 651) = ( 264 x 651 ) / 57288
= 264 / 651
= 264
Step2:
LCM(3, 465) = 465
GCD(3, 465) = ( 3 x 465 ) / 465
= 3 / 465
= 3
So, Greatest Common Divisor of 264, 651, 465 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 651, 465
The greatest common divisor of numbers 264, 651, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 651, 465 is 3.
1. What is the GCD of 264, 651, 465?
GCD of given numbers 264, 651, 465 is 3
2. How to calculate the greatest common divisor of 264, 651, 465?
We can find the highest common divisor of 264, 651, 465 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 264, 651, 465 i.e 3.
3. How can I use the GCD of 264, 651, 465Calculator?
Out the numbers 264, 651, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.