Online GCD Calculator is useful to find the GCD of 438, 207, 822, 585 quickly. Get the easiest ways to solve the greatest common divisor of 438, 207, 822, 585 i.e 3 in different methods as follows.
Given Input numbers are 438, 207, 822, 585
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
GCD of numbers is the greatest common divisor
So, the GCD (438, 207, 822, 585) = 3.
Given numbers are 438, 207, 822, 585
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 207 are 3 x 3 x 23
Prime factors of 822 are 2 x 3 x 137
Prime factors of 585 are 3 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 438, 207, 822, 585 is 3.
Given numbers are 438, 207, 822, 585
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 207) = 30222
GCD(438, 207) = ( 438 x 207 ) / 30222
= 438 / 207
= 438
Step2:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
Step3:
LCM(3, 585) = 585
GCD(3, 585) = ( 3 x 585 ) / 585
= 3 / 585
= 3
So, Greatest Common Divisor of 438, 207, 822, 585 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 207, 822, 585
The greatest common divisor of numbers 438, 207, 822, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 207, 822, 585 is 3.
1. What is the GCD of 438, 207, 822, 585?
GCD of given numbers 438, 207, 822, 585 is 3
2. How to calculate the greatest common divisor of 438, 207, 822, 585?
We can find the highest common divisor of 438, 207, 822, 585 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 438, 207, 822, 585 i.e 3.
3. How can I use the GCD of 438, 207, 822, 585Calculator?
Out the numbers 438, 207, 822, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.