Online GCD Calculator is useful to find the GCD of 363, 558, 687, 486 quickly. Get the easiest ways to solve the greatest common divisor of 363, 558, 687, 486 i.e 3 in different methods as follows.
Given Input numbers are 363, 558, 687, 486
In the factoring method, we have to find the divisors of all numbers
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
GCD of numbers is the greatest common divisor
So, the GCD (363, 558, 687, 486) = 3.
Given numbers are 363, 558, 687, 486
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 687 are 3 x 229
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 363, 558, 687, 486 is 3.
Given numbers are 363, 558, 687, 486
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 558) = 67518
GCD(363, 558) = ( 363 x 558 ) / 67518
= 363 / 558
= 363
Step2:
LCM(3, 687) = 687
GCD(3, 687) = ( 3 x 687 ) / 687
= 3 / 687
= 3
Step3:
LCM(3, 486) = 486
GCD(3, 486) = ( 3 x 486 ) / 486
= 3 / 486
= 3
So, Greatest Common Divisor of 363, 558, 687, 486 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 363, 558, 687, 486
The greatest common divisor of numbers 363, 558, 687, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 558, 687, 486 is 3.
1. What is the GCD of 363, 558, 687, 486?
GCD of given numbers 363, 558, 687, 486 is 3
2. How to calculate the greatest common divisor of 363, 558, 687, 486?
We can find the highest common divisor of 363, 558, 687, 486 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 363, 558, 687, 486 i.e 3.
3. How can I use the GCD of 363, 558, 687, 486Calculator?
Out the numbers 363, 558, 687, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.