Online GCD Calculator is useful to find the GCD of 132, 393, 837, 276 quickly. Get the easiest ways to solve the greatest common divisor of 132, 393, 837, 276 i.e 3 in different methods as follows.
Given Input numbers are 132, 393, 837, 276
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 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
GCD of numbers is the greatest common divisor
So, the GCD (132, 393, 837, 276) = 3.
Given numbers are 132, 393, 837, 276
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 393 are 3 x 131
Prime factors of 837 are 3 x 3 x 3 x 31
Prime factors of 276 are 2 x 2 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 132, 393, 837, 276 is 3.
Given numbers are 132, 393, 837, 276
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 393) = 17292
GCD(132, 393) = ( 132 x 393 ) / 17292
= 132 / 393
= 132
Step2:
LCM(3, 837) = 837
GCD(3, 837) = ( 3 x 837 ) / 837
= 3 / 837
= 3
Step3:
LCM(3, 276) = 276
GCD(3, 276) = ( 3 x 276 ) / 276
= 3 / 276
= 3
So, Greatest Common Divisor of 132, 393, 837, 276 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 393, 837, 276
The greatest common divisor of numbers 132, 393, 837, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 393, 837, 276 is 3.
1. What is the GCD of 132, 393, 837, 276?
GCD of given numbers 132, 393, 837, 276 is 3
2. How to calculate the greatest common divisor of 132, 393, 837, 276?
We can find the highest common divisor of 132, 393, 837, 276 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, 393, 837, 276 i.e 3.
3. How can I use the GCD of 132, 393, 837, 276Calculator?
Out the numbers 132, 393, 837, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.