Online GCD Calculator is useful to find the GCD of 452, 960, 398, 164 quickly. Get the easiest ways to solve the greatest common divisor of 452, 960, 398, 164 i.e 2 in different methods as follows.
Given Input numbers are 452, 960, 398, 164
In the factoring method, we have to find the divisors of all numbers
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (452, 960, 398, 164) = 2.
Given numbers are 452, 960, 398, 164
The list of prime factors of all numbers are
Prime factors of 452 are 2 x 2 x 113
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 398 are 2 x 199
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 452, 960, 398, 164 is 2.
Given numbers are 452, 960, 398, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(452, 960) = 108480
GCD(452, 960) = ( 452 x 960 ) / 108480
= 452 / 960
= 452
Step2:
LCM(4, 398) = 796
GCD(4, 398) = ( 4 x 398 ) / 796
= 4 / 398
= 4
Step3:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 452, 960, 398, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 452, 960, 398, 164
The greatest common divisor of numbers 452, 960, 398, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 960, 398, 164 is 2.
1. What is the GCD of 452, 960, 398, 164?
GCD of given numbers 452, 960, 398, 164 is 2
2. How to calculate the greatest common divisor of 452, 960, 398, 164?
We can find the highest common divisor of 452, 960, 398, 164 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 452, 960, 398, 164 i.e 2.
3. How can I use the GCD of 452, 960, 398, 164Calculator?
Out the numbers 452, 960, 398, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.