Online GCD Calculator is useful to find the GCD of 831, 585, 742, 198 quickly. Get the easiest ways to solve the greatest common divisor of 831, 585, 742, 198 i.e 1 in different methods as follows.
Given Input numbers are 831, 585, 742, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (831, 585, 742, 198) = 1.
Given numbers are 831, 585, 742, 198
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 742 are 2 x 7 x 53
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 831, 585, 742, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 585) = 162045
GCD(831, 585) = ( 831 x 585 ) / 162045
= 831 / 585
= 831
Step2:
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
= 3 / 742
= 3
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 831, 585, 742, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 831, 585, 742, 198
The greatest common divisor of numbers 831, 585, 742, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 585, 742, 198 is 1.
1. What is the GCD of 831, 585, 742, 198?
GCD of given numbers 831, 585, 742, 198 is 1
2. How to calculate the greatest common divisor of 831, 585, 742, 198?
We can find the highest common divisor of 831, 585, 742, 198 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 831, 585, 742, 198 i.e 1.
3. How can I use the GCD of 831, 585, 742, 198Calculator?
Out the numbers 831, 585, 742, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.