Online GCD Calculator is useful to find the GCD of 536, 438, 408, 360 quickly. Get the easiest ways to solve the greatest common divisor of 536, 438, 408, 360 i.e 2 in different methods as follows.
Given Input numbers are 536, 438, 408, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (536, 438, 408, 360) = 2.
Given numbers are 536, 438, 408, 360
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 438 are 2 x 3 x 73
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 536, 438, 408, 360 is 2.
Given numbers are 536, 438, 408, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 438) = 117384
GCD(536, 438) = ( 536 x 438 ) / 117384
= 536 / 438
= 536
Step2:
LCM(2, 408) = 408
GCD(2, 408) = ( 2 x 408 ) / 408
= 2 / 408
= 2
Step3:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
So, Greatest Common Divisor of 536, 438, 408, 360 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 438, 408, 360
The greatest common divisor of numbers 536, 438, 408, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 438, 408, 360 is 2.
1. What is the GCD of 536, 438, 408, 360?
GCD of given numbers 536, 438, 408, 360 is 2
2. How to calculate the greatest common divisor of 536, 438, 408, 360?
We can find the highest common divisor of 536, 438, 408, 360 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 536, 438, 408, 360 i.e 2.
3. How can I use the GCD of 536, 438, 408, 360Calculator?
Out the numbers 536, 438, 408, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.