Online GCD Calculator is useful to find the GCD of 435, 327, 591, 132 quickly. Get the easiest ways to solve the greatest common divisor of 435, 327, 591, 132 i.e 3 in different methods as follows.
Given Input numbers are 435, 327, 591, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
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 (435, 327, 591, 132) = 3.
Given numbers are 435, 327, 591, 132
The list of prime factors of all numbers are
Prime factors of 435 are 3 x 5 x 29
Prime factors of 327 are 3 x 109
Prime factors of 591 are 3 x 197
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 435, 327, 591, 132 is 3.
Given numbers are 435, 327, 591, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(435, 327) = 47415
GCD(435, 327) = ( 435 x 327 ) / 47415
= 435 / 327
= 435
Step2:
LCM(3, 591) = 591
GCD(3, 591) = ( 3 x 591 ) / 591
= 3 / 591
= 3
Step3:
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
= 3 / 132
= 3
So, Greatest Common Divisor of 435, 327, 591, 132 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 435, 327, 591, 132
The greatest common divisor of numbers 435, 327, 591, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 327, 591, 132 is 3.
1. What is the GCD of 435, 327, 591, 132?
GCD of given numbers 435, 327, 591, 132 is 3
2. How to calculate the greatest common divisor of 435, 327, 591, 132?
We can find the highest common divisor of 435, 327, 591, 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 435, 327, 591, 132 i.e 3.
3. How can I use the GCD of 435, 327, 591, 132Calculator?
Out the numbers 435, 327, 591, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.