Online GCD Calculator is useful to find the GCD of 543, 327, 813, 321 quickly. Get the easiest ways to solve the greatest common divisor of 543, 327, 813, 321 i.e 3 in different methods as follows.
Given Input numbers are 543, 327, 813, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (543, 327, 813, 321) = 3.
Given numbers are 543, 327, 813, 321
The list of prime factors of all numbers are
Prime factors of 543 are 3 x 181
Prime factors of 327 are 3 x 109
Prime factors of 813 are 3 x 271
Prime factors of 321 are 3 x 107
The highest common occurrence is 31
Therefore, GCD of 543, 327, 813, 321 is 3.
Given numbers are 543, 327, 813, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(543, 327) = 59187
GCD(543, 327) = ( 543 x 327 ) / 59187
= 543 / 327
= 543
Step2:
LCM(3, 813) = 813
GCD(3, 813) = ( 3 x 813 ) / 813
= 3 / 813
= 3
Step3:
LCM(3, 321) = 321
GCD(3, 321) = ( 3 x 321 ) / 321
= 3 / 321
= 3
So, Greatest Common Divisor of 543, 327, 813, 321 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 543, 327, 813, 321
The greatest common divisor of numbers 543, 327, 813, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 327, 813, 321 is 3.
1. What is the GCD of 543, 327, 813, 321?
GCD of given numbers 543, 327, 813, 321 is 3
2. How to calculate the greatest common divisor of 543, 327, 813, 321?
We can find the highest common divisor of 543, 327, 813, 321 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 543, 327, 813, 321 i.e 3.
3. How can I use the GCD of 543, 327, 813, 321Calculator?
Out the numbers 543, 327, 813, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.