Online GCD Calculator is useful to find the GCD of 324, 466, 744, 782 quickly. Get the easiest ways to solve the greatest common divisor of 324, 466, 744, 782 i.e 2 in different methods as follows.
Given Input numbers are 324, 466, 744, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (324, 466, 744, 782) = 2.
Given numbers are 324, 466, 744, 782
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 466 are 2 x 233
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 782 are 2 x 17 x 23
The highest common occurrence is 21
Therefore, GCD of 324, 466, 744, 782 is 2.
Given numbers are 324, 466, 744, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 466) = 75492
GCD(324, 466) = ( 324 x 466 ) / 75492
= 324 / 466
= 324
Step2:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
Step3:
LCM(2, 782) = 782
GCD(2, 782) = ( 2 x 782 ) / 782
= 2 / 782
= 2
So, Greatest Common Divisor of 324, 466, 744, 782 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 466, 744, 782
The greatest common divisor of numbers 324, 466, 744, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 466, 744, 782 is 2.
1. What is the GCD of 324, 466, 744, 782?
GCD of given numbers 324, 466, 744, 782 is 2
2. How to calculate the greatest common divisor of 324, 466, 744, 782?
We can find the highest common divisor of 324, 466, 744, 782 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 324, 466, 744, 782 i.e 2.
3. How can I use the GCD of 324, 466, 744, 782Calculator?
Out the numbers 324, 466, 744, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.