Online GCD Calculator is useful to find the GCD of 231, 774, 803, 993 quickly. Get the easiest ways to solve the greatest common divisor of 231, 774, 803, 993 i.e 1 in different methods as follows.
Given Input numbers are 231, 774, 803, 993
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 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 803 :
The positive integer divisors of 803 that completely divides 803 are.
1, 11, 73, 803
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
GCD of numbers is the greatest common divisor
So, the GCD (231, 774, 803, 993) = 1.
Given numbers are 231, 774, 803, 993
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 803 are 11 x 73
Prime factors of 993 are 3 x 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 774, 803, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 774) = 59598
GCD(231, 774) = ( 231 x 774 ) / 59598
= 231 / 774
= 231
Step2:
LCM(3, 803) = 2409
GCD(3, 803) = ( 3 x 803 ) / 2409
= 3 / 803
= 3
Step3:
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
= 1 / 993
= 1
So, Greatest Common Divisor of 231, 774, 803, 993 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 774, 803, 993
The greatest common divisor of numbers 231, 774, 803, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 774, 803, 993 is 1.
1. What is the GCD of 231, 774, 803, 993?
GCD of given numbers 231, 774, 803, 993 is 1
2. How to calculate the greatest common divisor of 231, 774, 803, 993?
We can find the highest common divisor of 231, 774, 803, 993 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, 774, 803, 993 i.e 1.
3. How can I use the GCD of 231, 774, 803, 993Calculator?
Out the numbers 231, 774, 803, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.