Online GCD Calculator is useful to find the GCD of 238, 396, 206, 580 quickly. Get the easiest ways to solve the greatest common divisor of 238, 396, 206, 580 i.e 2 in different methods as follows.
Given Input numbers are 238, 396, 206, 580
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
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 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD of numbers is the greatest common divisor
So, the GCD (238, 396, 206, 580) = 2.
Given numbers are 238, 396, 206, 580
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 206 are 2 x 103
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 238, 396, 206, 580 is 2.
Given numbers are 238, 396, 206, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 396) = 47124
GCD(238, 396) = ( 238 x 396 ) / 47124
= 238 / 396
= 238
Step2:
LCM(2, 206) = 206
GCD(2, 206) = ( 2 x 206 ) / 206
= 2 / 206
= 2
Step3:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
So, Greatest Common Divisor of 238, 396, 206, 580 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 396, 206, 580
The greatest common divisor of numbers 238, 396, 206, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 396, 206, 580 is 2.
1. What is the GCD of 238, 396, 206, 580?
GCD of given numbers 238, 396, 206, 580 is 2
2. How to calculate the greatest common divisor of 238, 396, 206, 580?
We can find the highest common divisor of 238, 396, 206, 580 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 238, 396, 206, 580 i.e 2.
3. How can I use the GCD of 238, 396, 206, 580Calculator?
Out the numbers 238, 396, 206, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.