Online GCD Calculator is useful to find the GCD of 531, 108, 372, 243 quickly. Get the easiest ways to solve the greatest common divisor of 531, 108, 372, 243 i.e 3 in different methods as follows.
Given Input numbers are 531, 108, 372, 243
In the factoring method, we have to find the divisors of all numbers
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (531, 108, 372, 243) = 3.
Given numbers are 531, 108, 372, 243
The list of prime factors of all numbers are
Prime factors of 531 are 3 x 3 x 59
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 531, 108, 372, 243 is 3.
Given numbers are 531, 108, 372, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(531, 108) = 6372
GCD(531, 108) = ( 531 x 108 ) / 6372
= 531 / 108
= 531
Step2:
LCM(9, 372) = 1116
GCD(9, 372) = ( 9 x 372 ) / 1116
= 9 / 372
= 9
Step3:
LCM(3, 243) = 243
GCD(3, 243) = ( 3 x 243 ) / 243
= 3 / 243
= 3
So, Greatest Common Divisor of 531, 108, 372, 243 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 531, 108, 372, 243
The greatest common divisor of numbers 531, 108, 372, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 108, 372, 243 is 3.
1. What is the GCD of 531, 108, 372, 243?
GCD of given numbers 531, 108, 372, 243 is 3
2. How to calculate the greatest common divisor of 531, 108, 372, 243?
We can find the highest common divisor of 531, 108, 372, 243 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 531, 108, 372, 243 i.e 3.
3. How can I use the GCD of 531, 108, 372, 243Calculator?
Out the numbers 531, 108, 372, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.