Online GCD Calculator is useful to find the GCD of 450, 132, 438, 412 quickly. Get the easiest ways to solve the greatest common divisor of 450, 132, 438, 412 i.e 2 in different methods as follows.
Given Input numbers are 450, 132, 438, 412
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
GCD of numbers is the greatest common divisor
So, the GCD (450, 132, 438, 412) = 2.
Given numbers are 450, 132, 438, 412
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 438 are 2 x 3 x 73
Prime factors of 412 are 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 450, 132, 438, 412 is 2.
Given numbers are 450, 132, 438, 412
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 132) = 9900
GCD(450, 132) = ( 450 x 132 ) / 9900
= 450 / 132
= 450
Step2:
LCM(6, 438) = 438
GCD(6, 438) = ( 6 x 438 ) / 438
= 6 / 438
= 6
Step3:
LCM(6, 412) = 1236
GCD(6, 412) = ( 6 x 412 ) / 1236
= 6 / 412
= 6
So, Greatest Common Divisor of 450, 132, 438, 412 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 132, 438, 412
The greatest common divisor of numbers 450, 132, 438, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 132, 438, 412 is 2.
1. What is the GCD of 450, 132, 438, 412?
GCD of given numbers 450, 132, 438, 412 is 2
2. How to calculate the greatest common divisor of 450, 132, 438, 412?
We can find the highest common divisor of 450, 132, 438, 412 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 450, 132, 438, 412 i.e 2.
3. How can I use the GCD of 450, 132, 438, 412Calculator?
Out the numbers 450, 132, 438, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.