Online GCD Calculator is useful to find the GCD of 231, 405, 781, 442 quickly. Get the easiest ways to solve the greatest common divisor of 231, 405, 781, 442 i.e 1 in different methods as follows.
Given Input numbers are 231, 405, 781, 442
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 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 781 :
The positive integer divisors of 781 that completely divides 781 are.
1, 11, 71, 781
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (231, 405, 781, 442) = 1.
Given numbers are 231, 405, 781, 442
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 781 are 11 x 71
Prime factors of 442 are 2 x 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 405, 781, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 405) = 31185
GCD(231, 405) = ( 231 x 405 ) / 31185
= 231 / 405
= 231
Step2:
LCM(3, 781) = 2343
GCD(3, 781) = ( 3 x 781 ) / 2343
= 3 / 781
= 3
Step3:
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
= 1 / 442
= 1
So, Greatest Common Divisor of 231, 405, 781, 442 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 405, 781, 442
The greatest common divisor of numbers 231, 405, 781, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 405, 781, 442 is 1.
1. What is the GCD of 231, 405, 781, 442?
GCD of given numbers 231, 405, 781, 442 is 1
2. How to calculate the greatest common divisor of 231, 405, 781, 442?
We can find the highest common divisor of 231, 405, 781, 442 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, 405, 781, 442 i.e 1.
3. How can I use the GCD of 231, 405, 781, 442Calculator?
Out the numbers 231, 405, 781, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.