Online GCD Calculator is useful to find the GCD of 732, 200, 592 quickly. Get the easiest ways to solve the greatest common divisor of 732, 200, 592 i.e 4 in different methods as follows.
Given Input numbers are 732, 200, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
GCD of numbers is the greatest common divisor
So, the GCD (732, 200, 592) = 4.
Given numbers are 732, 200, 592
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The highest common occurrence is 22
Therefore, GCD of 732, 200, 592 is 4.
Given numbers are 732, 200, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 200) = 36600
GCD(732, 200) = ( 732 x 200 ) / 36600
= 732 / 200
= 732
Step2:
LCM(4, 592) = 592
GCD(4, 592) = ( 4 x 592 ) / 592
= 4 / 592
= 4
So, Greatest Common Divisor of 732, 200, 592 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 200, 592
The greatest common divisor of numbers 732, 200, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 200, 592 is 4.
1. What is the GCD of 732, 200, 592?
GCD of given numbers 732, 200, 592 is 4
2. How to calculate the greatest common divisor of 732, 200, 592?
We can find the highest common divisor of 732, 200, 592 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 732, 200, 592 i.e 4.
3. How can I use the GCD of 732, 200, 592Calculator?
Out the numbers 732, 200, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.