Online GCD Calculator is useful to find the GCD of 468, 472, 968, 872 quickly. Get the easiest ways to solve the greatest common divisor of 468, 472, 968, 872 i.e 4 in different methods as follows.
Given Input numbers are 468, 472, 968, 872
In the factoring method, we have to find the divisors of all numbers
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (468, 472, 968, 872) = 4.
Given numbers are 468, 472, 968, 872
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 22
Therefore, GCD of 468, 472, 968, 872 is 4.
Given numbers are 468, 472, 968, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 472) = 55224
GCD(468, 472) = ( 468 x 472 ) / 55224
= 468 / 472
= 468
Step2:
LCM(4, 968) = 968
GCD(4, 968) = ( 4 x 968 ) / 968
= 4 / 968
= 4
Step3:
LCM(4, 872) = 872
GCD(4, 872) = ( 4 x 872 ) / 872
= 4 / 872
= 4
So, Greatest Common Divisor of 468, 472, 968, 872 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 472, 968, 872
The greatest common divisor of numbers 468, 472, 968, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 472, 968, 872 is 4.
1. What is the GCD of 468, 472, 968, 872?
GCD of given numbers 468, 472, 968, 872 is 4
2. How to calculate the greatest common divisor of 468, 472, 968, 872?
We can find the highest common divisor of 468, 472, 968, 872 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 468, 472, 968, 872 i.e 4.
3. How can I use the GCD of 468, 472, 968, 872Calculator?
Out the numbers 468, 472, 968, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.