Online GCD Calculator is useful to find the GCD of 231, 459, 684, 158 quickly. Get the easiest ways to solve the greatest common divisor of 231, 459, 684, 158 i.e 1 in different methods as follows.
Given Input numbers are 231, 459, 684, 158
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
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 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
GCD of numbers is the greatest common divisor
So, the GCD (231, 459, 684, 158) = 1.
Given numbers are 231, 459, 684, 158
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 158 are 2 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 459, 684, 158
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 459) = 35343
GCD(231, 459) = ( 231 x 459 ) / 35343
= 231 / 459
= 231
Step2:
LCM(3, 684) = 684
GCD(3, 684) = ( 3 x 684 ) / 684
= 3 / 684
= 3
Step3:
LCM(3, 158) = 474
GCD(3, 158) = ( 3 x 158 ) / 474
= 3 / 158
= 3
So, Greatest Common Divisor of 231, 459, 684, 158 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 459, 684, 158
The greatest common divisor of numbers 231, 459, 684, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 459, 684, 158 is 1.
1. What is the GCD of 231, 459, 684, 158?
GCD of given numbers 231, 459, 684, 158 is 1
2. How to calculate the greatest common divisor of 231, 459, 684, 158?
We can find the highest common divisor of 231, 459, 684, 158 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 231, 459, 684, 158 i.e 1.
3. How can I use the GCD of 231, 459, 684, 158Calculator?
Out the numbers 231, 459, 684, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.