Online GCD Calculator is useful to find the GCD of 231, 462, 905, 121 quickly. Get the easiest ways to solve the greatest common divisor of 231, 462, 905, 121 i.e 1 in different methods as follows.
Given Input numbers are 231, 462, 905, 121
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
GCD of numbers is the greatest common divisor
So, the GCD (231, 462, 905, 121) = 1.
Given numbers are 231, 462, 905, 121
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 905 are 5 x 181
Prime factors of 121 are 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 462, 905, 121
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 462) = 462
GCD(231, 462) = ( 231 x 462 ) / 462
= 231 / 462
= 231
Step2:
LCM(231, 905) = 209055
GCD(231, 905) = ( 231 x 905 ) / 209055
= 231 / 905
= 231
Step3:
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
= 1 / 121
= 1
So, Greatest Common Divisor of 231, 462, 905, 121 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 462, 905, 121
The greatest common divisor of numbers 231, 462, 905, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 462, 905, 121 is 1.
1. What is the GCD of 231, 462, 905, 121?
GCD of given numbers 231, 462, 905, 121 is 1
2. How to calculate the greatest common divisor of 231, 462, 905, 121?
We can find the highest common divisor of 231, 462, 905, 121 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, 462, 905, 121 i.e 1.
3. How can I use the GCD of 231, 462, 905, 121Calculator?
Out the numbers 231, 462, 905, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.