Online GCD Calculator is useful to find the GCD of 104, 208, 90, 231 quickly. Get the easiest ways to solve the greatest common divisor of 104, 208, 90, 231 i.e 1 in different methods as follows.
Given Input numbers are 104, 208, 90, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (104, 208, 90, 231) = 1.
Given numbers are 104, 208, 90, 231
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 104, 208, 90, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 208) = 208
GCD(104, 208) = ( 104 x 208 ) / 208
= 104 / 208
= 104
Step2:
LCM(104, 90) = 4680
GCD(104, 90) = ( 104 x 90 ) / 4680
= 104 / 90
= 104
Step3:
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
= 2 / 231
= 2
So, Greatest Common Divisor of 104, 208, 90, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 208, 90, 231
The greatest common divisor of numbers 104, 208, 90, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 208, 90, 231 is 1.
1. What is the GCD of 104, 208, 90, 231?
GCD of given numbers 104, 208, 90, 231 is 1
2. How to calculate the greatest common divisor of 104, 208, 90, 231?
We can find the highest common divisor of 104, 208, 90, 231 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 104, 208, 90, 231 i.e 1.
3. How can I use the GCD of 104, 208, 90, 231Calculator?
Out the numbers 104, 208, 90, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.