Online GCD Calculator is useful to find the GCD of 590, 500, 394, 706 quickly. Get the easiest ways to solve the greatest common divisor of 590, 500, 394, 706 i.e 2 in different methods as follows.
Given Input numbers are 590, 500, 394, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (590, 500, 394, 706) = 2.
Given numbers are 590, 500, 394, 706
The list of prime factors of all numbers are
Prime factors of 590 are 2 x 5 x 59
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 394 are 2 x 197
Prime factors of 706 are 2 x 353
The highest common occurrence is 21
Therefore, GCD of 590, 500, 394, 706 is 2.
Given numbers are 590, 500, 394, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(590, 500) = 29500
GCD(590, 500) = ( 590 x 500 ) / 29500
= 590 / 500
= 590
Step2:
LCM(10, 394) = 1970
GCD(10, 394) = ( 10 x 394 ) / 1970
= 10 / 394
= 10
Step3:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
So, Greatest Common Divisor of 590, 500, 394, 706 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 590, 500, 394, 706
The greatest common divisor of numbers 590, 500, 394, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 500, 394, 706 is 2.
1. What is the GCD of 590, 500, 394, 706?
GCD of given numbers 590, 500, 394, 706 is 2
2. How to calculate the greatest common divisor of 590, 500, 394, 706?
We can find the highest common divisor of 590, 500, 394, 706 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 590, 500, 394, 706 i.e 2.
3. How can I use the GCD of 590, 500, 394, 706Calculator?
Out the numbers 590, 500, 394, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.