Online GCD Calculator is useful to find the GCD of 468, 498, 363, 831 quickly. Get the easiest ways to solve the greatest common divisor of 468, 498, 363, 831 i.e 3 in different methods as follows.
Given Input numbers are 468, 498, 363, 831
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (468, 498, 363, 831) = 3.
Given numbers are 468, 498, 363, 831
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 498 are 2 x 3 x 83
Prime factors of 363 are 3 x 11 x 11
Prime factors of 831 are 3 x 277
The highest common occurrence is 31
Therefore, GCD of 468, 498, 363, 831 is 3.
Given numbers are 468, 498, 363, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 498) = 38844
GCD(468, 498) = ( 468 x 498 ) / 38844
= 468 / 498
= 468
Step2:
LCM(6, 363) = 726
GCD(6, 363) = ( 6 x 363 ) / 726
= 6 / 363
= 6
Step3:
LCM(3, 831) = 831
GCD(3, 831) = ( 3 x 831 ) / 831
= 3 / 831
= 3
So, Greatest Common Divisor of 468, 498, 363, 831 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 498, 363, 831
The greatest common divisor of numbers 468, 498, 363, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 498, 363, 831 is 3.
1. What is the GCD of 468, 498, 363, 831?
GCD of given numbers 468, 498, 363, 831 is 3
2. How to calculate the greatest common divisor of 468, 498, 363, 831?
We can find the highest common divisor of 468, 498, 363, 831 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 468, 498, 363, 831 i.e 3.
3. How can I use the GCD of 468, 498, 363, 831Calculator?
Out the numbers 468, 498, 363, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.