Online GCD Calculator is useful to find the GCD of 132, 176, 814 quickly. Get the easiest ways to solve the greatest common divisor of 132, 176, 814 i.e 22 in different methods as follows.
Given Input numbers are 132, 176, 814
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 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (132, 176, 814) = 22.
Given numbers are 132, 176, 814
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 814 are 2 x 11 x 37
The highest common occurrence is 111 x 21
Therefore, GCD of 132, 176, 814 is 22.
Given numbers are 132, 176, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 176) = 528
GCD(132, 176) = ( 132 x 176 ) / 528
= 132 / 176
= 132
Step2:
LCM(44, 814) = 1628
GCD(44, 814) = ( 44 x 814 ) / 1628
= 44 / 814
= 44
So, Greatest Common Divisor of 132, 176, 814 is 22
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 176, 814
The greatest common divisor of numbers 132, 176, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 176, 814 is 22.
1. What is the GCD of 132, 176, 814?
GCD of given numbers 132, 176, 814 is 22
2. How to calculate the greatest common divisor of 132, 176, 814?
We can find the highest common divisor of 132, 176, 814 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, 176, 814 i.e 22.
3. How can I use the GCD of 132, 176, 814Calculator?
Out the numbers 132, 176, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.