Online GCD Calculator is useful to find the GCD of 591, 387, 249, 132 quickly. Get the easiest ways to solve the greatest common divisor of 591, 387, 249, 132 i.e 3 in different methods as follows.
Given Input numbers are 591, 387, 249, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (591, 387, 249, 132) = 3.
Given numbers are 591, 387, 249, 132
The list of prime factors of all numbers are
Prime factors of 591 are 3 x 197
Prime factors of 387 are 3 x 3 x 43
Prime factors of 249 are 3 x 83
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 591, 387, 249, 132 is 3.
Given numbers are 591, 387, 249, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(591, 387) = 76239
GCD(591, 387) = ( 591 x 387 ) / 76239
= 591 / 387
= 591
Step2:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
Step3:
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
= 3 / 132
= 3
So, Greatest Common Divisor of 591, 387, 249, 132 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 591, 387, 249, 132
The greatest common divisor of numbers 591, 387, 249, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 591, 387, 249, 132 is 3.
1. What is the GCD of 591, 387, 249, 132?
GCD of given numbers 591, 387, 249, 132 is 3
2. How to calculate the greatest common divisor of 591, 387, 249, 132?
We can find the highest common divisor of 591, 387, 249, 132 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 591, 387, 249, 132 i.e 3.
3. How can I use the GCD of 591, 387, 249, 132Calculator?
Out the numbers 591, 387, 249, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.