Online GCD Calculator is useful to find the GCD of 438, 332, 236, 408 quickly. Get the easiest ways to solve the greatest common divisor of 438, 332, 236, 408 i.e 2 in different methods as follows.
Given Input numbers are 438, 332, 236, 408
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 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (438, 332, 236, 408) = 2.
Given numbers are 438, 332, 236, 408
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 332 are 2 x 2 x 83
Prime factors of 236 are 2 x 2 x 59
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 438, 332, 236, 408 is 2.
Given numbers are 438, 332, 236, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 332) = 72708
GCD(438, 332) = ( 438 x 332 ) / 72708
= 438 / 332
= 438
Step2:
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
= 2 / 236
= 2
Step3:
LCM(2, 408) = 408
GCD(2, 408) = ( 2 x 408 ) / 408
= 2 / 408
= 2
So, Greatest Common Divisor of 438, 332, 236, 408 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 332, 236, 408
The greatest common divisor of numbers 438, 332, 236, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 332, 236, 408 is 2.
1. What is the GCD of 438, 332, 236, 408?
GCD of given numbers 438, 332, 236, 408 is 2
2. How to calculate the greatest common divisor of 438, 332, 236, 408?
We can find the highest common divisor of 438, 332, 236, 408 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, 332, 236, 408 i.e 2.
3. How can I use the GCD of 438, 332, 236, 408Calculator?
Out the numbers 438, 332, 236, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.