Online GCD Calculator is useful to find the GCD of 536, 270, 200, 844 quickly. Get the easiest ways to solve the greatest common divisor of 536, 270, 200, 844 i.e 2 in different methods as follows.
Given Input numbers are 536, 270, 200, 844
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
GCD of numbers is the greatest common divisor
So, the GCD (536, 270, 200, 844) = 2.
Given numbers are 536, 270, 200, 844
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 844 are 2 x 2 x 211
The highest common occurrence is 21
Therefore, GCD of 536, 270, 200, 844 is 2.
Given numbers are 536, 270, 200, 844
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 270) = 72360
GCD(536, 270) = ( 536 x 270 ) / 72360
= 536 / 270
= 536
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
= 2 / 844
= 2
So, Greatest Common Divisor of 536, 270, 200, 844 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 270, 200, 844
The greatest common divisor of numbers 536, 270, 200, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 270, 200, 844 is 2.
1. What is the GCD of 536, 270, 200, 844?
GCD of given numbers 536, 270, 200, 844 is 2
2. How to calculate the greatest common divisor of 536, 270, 200, 844?
We can find the highest common divisor of 536, 270, 200, 844 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, 270, 200, 844 i.e 2.
3. How can I use the GCD of 536, 270, 200, 844Calculator?
Out the numbers 536, 270, 200, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.