Online GCD Calculator is useful to find the GCD of 238, 396, 311, 698 quickly. Get the easiest ways to solve the greatest common divisor of 238, 396, 311, 698 i.e 1 in different methods as follows.
Given Input numbers are 238, 396, 311, 698
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 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (238, 396, 311, 698) = 1.
Given numbers are 238, 396, 311, 698
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 311 are 311
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 238, 396, 311, 698
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, 311) = 622
GCD(2, 311) = ( 2 x 311 ) / 622
= 2 / 311
= 2
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 238, 396, 311, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 396, 311, 698
The greatest common divisor of numbers 238, 396, 311, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 396, 311, 698 is 1.
1. What is the GCD of 238, 396, 311, 698?
GCD of given numbers 238, 396, 311, 698 is 1
2. How to calculate the greatest common divisor of 238, 396, 311, 698?
We can find the highest common divisor of 238, 396, 311, 698 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, 311, 698 i.e 1.
3. How can I use the GCD of 238, 396, 311, 698Calculator?
Out the numbers 238, 396, 311, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.