Online GCD Calculator is useful to find the GCD of 324, 312, 964, 744 quickly. Get the easiest ways to solve the greatest common divisor of 324, 312, 964, 744 i.e 4 in different methods as follows.
Given Input numbers are 324, 312, 964, 744
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 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 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
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
GCD of numbers is the greatest common divisor
So, the GCD (324, 312, 964, 744) = 4.
Given numbers are 324, 312, 964, 744
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 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 964 are 2 x 2 x 241
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 22
Therefore, GCD of 324, 312, 964, 744 is 4.
Given numbers are 324, 312, 964, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 312) = 8424
GCD(324, 312) = ( 324 x 312 ) / 8424
= 324 / 312
= 324
Step2:
LCM(12, 964) = 2892
GCD(12, 964) = ( 12 x 964 ) / 2892
= 12 / 964
= 12
Step3:
LCM(4, 744) = 744
GCD(4, 744) = ( 4 x 744 ) / 744
= 4 / 744
= 4
So, Greatest Common Divisor of 324, 312, 964, 744 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 312, 964, 744
The greatest common divisor of numbers 324, 312, 964, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 312, 964, 744 is 4.
1. What is the GCD of 324, 312, 964, 744?
GCD of given numbers 324, 312, 964, 744 is 4
2. How to calculate the greatest common divisor of 324, 312, 964, 744?
We can find the highest common divisor of 324, 312, 964, 744 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, 312, 964, 744 i.e 4.
3. How can I use the GCD of 324, 312, 964, 744Calculator?
Out the numbers 324, 312, 964, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.