Online GCD Calculator is useful to find the GCD of 132, 378, 232, 537 quickly. Get the easiest ways to solve the greatest common divisor of 132, 378, 232, 537 i.e 1 in different methods as follows.
Given Input numbers are 132, 378, 232, 537
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
GCD of numbers is the greatest common divisor
So, the GCD (132, 378, 232, 537) = 1.
Given numbers are 132, 378, 232, 537
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 537 are 3 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 378, 232, 537
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 378) = 8316
GCD(132, 378) = ( 132 x 378 ) / 8316
= 132 / 378
= 132
Step2:
LCM(6, 232) = 696
GCD(6, 232) = ( 6 x 232 ) / 696
= 6 / 232
= 6
Step3:
LCM(2, 537) = 1074
GCD(2, 537) = ( 2 x 537 ) / 1074
= 2 / 537
= 2
So, Greatest Common Divisor of 132, 378, 232, 537 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 378, 232, 537
The greatest common divisor of numbers 132, 378, 232, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 378, 232, 537 is 1.
1. What is the GCD of 132, 378, 232, 537?
GCD of given numbers 132, 378, 232, 537 is 1
2. How to calculate the greatest common divisor of 132, 378, 232, 537?
We can find the highest common divisor of 132, 378, 232, 537 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, 378, 232, 537 i.e 1.
3. How can I use the GCD of 132, 378, 232, 537Calculator?
Out the numbers 132, 378, 232, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.