Online GCD Calculator is useful to find the GCD of 372, 213, 438, 450 quickly. Get the easiest ways to solve the greatest common divisor of 372, 213, 438, 450 i.e 3 in different methods as follows.
Given Input numbers are 372, 213, 438, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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
GCD of numbers is the greatest common divisor
So, the GCD (372, 213, 438, 450) = 3.
Given numbers are 372, 213, 438, 450
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 213 are 3 x 71
Prime factors of 438 are 2 x 3 x 73
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 372, 213, 438, 450 is 3.
Given numbers are 372, 213, 438, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 213) = 26412
GCD(372, 213) = ( 372 x 213 ) / 26412
= 372 / 213
= 372
Step2:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
Step3:
LCM(3, 450) = 450
GCD(3, 450) = ( 3 x 450 ) / 450
= 3 / 450
= 3
So, Greatest Common Divisor of 372, 213, 438, 450 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 213, 438, 450
The greatest common divisor of numbers 372, 213, 438, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 213, 438, 450 is 3.
1. What is the GCD of 372, 213, 438, 450?
GCD of given numbers 372, 213, 438, 450 is 3
2. How to calculate the greatest common divisor of 372, 213, 438, 450?
We can find the highest common divisor of 372, 213, 438, 450 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 372, 213, 438, 450 i.e 3.
3. How can I use the GCD of 372, 213, 438, 450Calculator?
Out the numbers 372, 213, 438, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.