Online GCD Calculator is useful to find the GCD of 594, 814, 584, 708 quickly. Get the easiest ways to solve the greatest common divisor of 594, 814, 584, 708 i.e 2 in different methods as follows.
Given Input numbers are 594, 814, 584, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (594, 814, 584, 708) = 2.
Given numbers are 594, 814, 584, 708
The list of prime factors of all numbers are
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 814 are 2 x 11 x 37
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 594, 814, 584, 708 is 2.
Given numbers are 594, 814, 584, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(594, 814) = 21978
GCD(594, 814) = ( 594 x 814 ) / 21978
= 594 / 814
= 594
Step2:
LCM(22, 584) = 6424
GCD(22, 584) = ( 22 x 584 ) / 6424
= 22 / 584
= 22
Step3:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
So, Greatest Common Divisor of 594, 814, 584, 708 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 594, 814, 584, 708
The greatest common divisor of numbers 594, 814, 584, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 814, 584, 708 is 2.
1. What is the GCD of 594, 814, 584, 708?
GCD of given numbers 594, 814, 584, 708 is 2
2. How to calculate the greatest common divisor of 594, 814, 584, 708?
We can find the highest common divisor of 594, 814, 584, 708 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 594, 814, 584, 708 i.e 2.
3. How can I use the GCD of 594, 814, 584, 708Calculator?
Out the numbers 594, 814, 584, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.