Online GCD Calculator is useful to find the GCD of 588, 396, 424, 690 quickly. Get the easiest ways to solve the greatest common divisor of 588, 396, 424, 690 i.e 2 in different methods as follows.
Given Input numbers are 588, 396, 424, 690
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 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (588, 396, 424, 690) = 2.
Given numbers are 588, 396, 424, 690
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 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 588, 396, 424, 690 is 2.
Given numbers are 588, 396, 424, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 396) = 19404
GCD(588, 396) = ( 588 x 396 ) / 19404
= 588 / 396
= 588
Step2:
LCM(12, 424) = 1272
GCD(12, 424) = ( 12 x 424 ) / 1272
= 12 / 424
= 12
Step3:
LCM(4, 690) = 1380
GCD(4, 690) = ( 4 x 690 ) / 1380
= 4 / 690
= 4
So, Greatest Common Divisor of 588, 396, 424, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 396, 424, 690
The greatest common divisor of numbers 588, 396, 424, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 396, 424, 690 is 2.
1. What is the GCD of 588, 396, 424, 690?
GCD of given numbers 588, 396, 424, 690 is 2
2. How to calculate the greatest common divisor of 588, 396, 424, 690?
We can find the highest common divisor of 588, 396, 424, 690 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, 396, 424, 690 i.e 2.
3. How can I use the GCD of 588, 396, 424, 690Calculator?
Out the numbers 588, 396, 424, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.