Online GCD Calculator is useful to find the GCD of 132, 288, 591, 709 quickly. Get the easiest ways to solve the greatest common divisor of 132, 288, 591, 709 i.e 1 in different methods as follows.
Given Input numbers are 132, 288, 591, 709
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
GCD of numbers is the greatest common divisor
So, the GCD (132, 288, 591, 709) = 1.
Given numbers are 132, 288, 591, 709
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 591 are 3 x 197
Prime factors of 709 are 709
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 288, 591, 709
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 288) = 3168
GCD(132, 288) = ( 132 x 288 ) / 3168
= 132 / 288
= 132
Step2:
LCM(12, 591) = 2364
GCD(12, 591) = ( 12 x 591 ) / 2364
= 12 / 591
= 12
Step3:
LCM(3, 709) = 2127
GCD(3, 709) = ( 3 x 709 ) / 2127
= 3 / 709
= 3
So, Greatest Common Divisor of 132, 288, 591, 709 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 288, 591, 709
The greatest common divisor of numbers 132, 288, 591, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 288, 591, 709 is 1.
1. What is the GCD of 132, 288, 591, 709?
GCD of given numbers 132, 288, 591, 709 is 1
2. How to calculate the greatest common divisor of 132, 288, 591, 709?
We can find the highest common divisor of 132, 288, 591, 709 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 132, 288, 591, 709 i.e 1.
3. How can I use the GCD of 132, 288, 591, 709Calculator?
Out the numbers 132, 288, 591, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.