Online GCD Calculator is useful to find the GCD of 588, 684, 442, 352 quickly. Get the easiest ways to solve the greatest common divisor of 588, 684, 442, 352 i.e 2 in different methods as follows.
Given Input numbers are 588, 684, 442, 352
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (588, 684, 442, 352) = 2.
Given numbers are 588, 684, 442, 352
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 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 442 are 2 x 13 x 17
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 588, 684, 442, 352 is 2.
Given numbers are 588, 684, 442, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 684) = 33516
GCD(588, 684) = ( 588 x 684 ) / 33516
= 588 / 684
= 588
Step2:
LCM(12, 442) = 2652
GCD(12, 442) = ( 12 x 442 ) / 2652
= 12 / 442
= 12
Step3:
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
= 2 / 352
= 2
So, Greatest Common Divisor of 588, 684, 442, 352 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 684, 442, 352
The greatest common divisor of numbers 588, 684, 442, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 684, 442, 352 is 2.
1. What is the GCD of 588, 684, 442, 352?
GCD of given numbers 588, 684, 442, 352 is 2
2. How to calculate the greatest common divisor of 588, 684, 442, 352?
We can find the highest common divisor of 588, 684, 442, 352 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, 684, 442, 352 i.e 2.
3. How can I use the GCD of 588, 684, 442, 352Calculator?
Out the numbers 588, 684, 442, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.