Online GCD Calculator is useful to find the GCD of 832, 200, 884, 590 quickly. Get the easiest ways to solve the greatest common divisor of 832, 200, 884, 590 i.e 2 in different methods as follows.
Given Input numbers are 832, 200, 884, 590
In the factoring method, we have to find the divisors of all numbers
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
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 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (832, 200, 884, 590) = 2.
Given numbers are 832, 200, 884, 590
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21
Therefore, GCD of 832, 200, 884, 590 is 2.
Given numbers are 832, 200, 884, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 200) = 20800
GCD(832, 200) = ( 832 x 200 ) / 20800
= 832 / 200
= 832
Step2:
LCM(8, 884) = 1768
GCD(8, 884) = ( 8 x 884 ) / 1768
= 8 / 884
= 8
Step3:
LCM(4, 590) = 1180
GCD(4, 590) = ( 4 x 590 ) / 1180
= 4 / 590
= 4
So, Greatest Common Divisor of 832, 200, 884, 590 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 200, 884, 590
The greatest common divisor of numbers 832, 200, 884, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 200, 884, 590 is 2.
1. What is the GCD of 832, 200, 884, 590?
GCD of given numbers 832, 200, 884, 590 is 2
2. How to calculate the greatest common divisor of 832, 200, 884, 590?
We can find the highest common divisor of 832, 200, 884, 590 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 832, 200, 884, 590 i.e 2.
3. How can I use the GCD of 832, 200, 884, 590Calculator?
Out the numbers 832, 200, 884, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.