Online GCD Calculator is useful to find the GCD of 592, 264, 212, 200 quickly. Get the easiest ways to solve the greatest common divisor of 592, 264, 212, 200 i.e 4 in different methods as follows.
Given Input numbers are 592, 264, 212, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
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
GCD of numbers is the greatest common divisor
So, the GCD (592, 264, 212, 200) = 4.
Given numbers are 592, 264, 212, 200
The list of prime factors of all numbers are
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 212 are 2 x 2 x 53
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 592, 264, 212, 200 is 4.
Given numbers are 592, 264, 212, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(592, 264) = 19536
GCD(592, 264) = ( 592 x 264 ) / 19536
= 592 / 264
= 592
Step2:
LCM(8, 212) = 424
GCD(8, 212) = ( 8 x 212 ) / 424
= 8 / 212
= 8
Step3:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
So, Greatest Common Divisor of 592, 264, 212, 200 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 592, 264, 212, 200
The greatest common divisor of numbers 592, 264, 212, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 592, 264, 212, 200 is 4.
1. What is the GCD of 592, 264, 212, 200?
GCD of given numbers 592, 264, 212, 200 is 4
2. How to calculate the greatest common divisor of 592, 264, 212, 200?
We can find the highest common divisor of 592, 264, 212, 200 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 592, 264, 212, 200 i.e 4.
3. How can I use the GCD of 592, 264, 212, 200Calculator?
Out the numbers 592, 264, 212, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.