Online GCD Calculator is useful to find the GCD of 588, 680, 410, 164 quickly. Get the easiest ways to solve the greatest common divisor of 588, 680, 410, 164 i.e 2 in different methods as follows.
Given Input numbers are 588, 680, 410, 164
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 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 410 :
The positive integer divisors of 410 that completely divides 410 are.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (588, 680, 410, 164) = 2.
Given numbers are 588, 680, 410, 164
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 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 410 are 2 x 5 x 41
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 588, 680, 410, 164 is 2.
Given numbers are 588, 680, 410, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 680) = 99960
GCD(588, 680) = ( 588 x 680 ) / 99960
= 588 / 680
= 588
Step2:
LCM(4, 410) = 820
GCD(4, 410) = ( 4 x 410 ) / 820
= 4 / 410
= 4
Step3:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 588, 680, 410, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 680, 410, 164
The greatest common divisor of numbers 588, 680, 410, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 680, 410, 164 is 2.
1. What is the GCD of 588, 680, 410, 164?
GCD of given numbers 588, 680, 410, 164 is 2
2. How to calculate the greatest common divisor of 588, 680, 410, 164?
We can find the highest common divisor of 588, 680, 410, 164 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, 680, 410, 164 i.e 2.
3. How can I use the GCD of 588, 680, 410, 164Calculator?
Out the numbers 588, 680, 410, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.