Online GCD Calculator is useful to find the GCD of 588, 590, 398, 286 quickly. Get the easiest ways to solve the greatest common divisor of 588, 590, 398, 286 i.e 2 in different methods as follows.
Given Input numbers are 588, 590, 398, 286
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
GCD of numbers is the greatest common divisor
So, the GCD (588, 590, 398, 286) = 2.
Given numbers are 588, 590, 398, 286
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 590 are 2 x 5 x 59
Prime factors of 398 are 2 x 199
Prime factors of 286 are 2 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 588, 590, 398, 286 is 2.
Given numbers are 588, 590, 398, 286
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 590) = 173460
GCD(588, 590) = ( 588 x 590 ) / 173460
= 588 / 590
= 588
Step2:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
Step3:
LCM(2, 286) = 286
GCD(2, 286) = ( 2 x 286 ) / 286
= 2 / 286
= 2
So, Greatest Common Divisor of 588, 590, 398, 286 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 590, 398, 286
The greatest common divisor of numbers 588, 590, 398, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 590, 398, 286 is 2.
1. What is the GCD of 588, 590, 398, 286?
GCD of given numbers 588, 590, 398, 286 is 2
2. How to calculate the greatest common divisor of 588, 590, 398, 286?
We can find the highest common divisor of 588, 590, 398, 286 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 588, 590, 398, 286 i.e 2.
3. How can I use the GCD of 588, 590, 398, 286Calculator?
Out the numbers 588, 590, 398, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.