Online GCD Calculator is useful to find the GCD of 308, 744, 468, 944 quickly. Get the easiest ways to solve the greatest common divisor of 308, 744, 468, 944 i.e 4 in different methods as follows.
Given Input numbers are 308, 744, 468, 944
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
GCD of numbers is the greatest common divisor
So, the GCD (308, 744, 468, 944) = 4.
Given numbers are 308, 744, 468, 944
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
The highest common occurrence is 22
Therefore, GCD of 308, 744, 468, 944 is 4.
Given numbers are 308, 744, 468, 944
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 744) = 57288
GCD(308, 744) = ( 308 x 744 ) / 57288
= 308 / 744
= 308
Step2:
LCM(4, 468) = 468
GCD(4, 468) = ( 4 x 468 ) / 468
= 4 / 468
= 4
Step3:
LCM(4, 944) = 944
GCD(4, 944) = ( 4 x 944 ) / 944
= 4 / 944
= 4
So, Greatest Common Divisor of 308, 744, 468, 944 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 744, 468, 944
The greatest common divisor of numbers 308, 744, 468, 944 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 744, 468, 944 is 4.
1. What is the GCD of 308, 744, 468, 944?
GCD of given numbers 308, 744, 468, 944 is 4
2. How to calculate the greatest common divisor of 308, 744, 468, 944?
We can find the highest common divisor of 308, 744, 468, 944 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 308, 744, 468, 944 i.e 4.
3. How can I use the GCD of 308, 744, 468, 944Calculator?
Out the numbers 308, 744, 468, 944 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.