Online GCD Calculator is useful to find the GCD of 132, 103, 214, 113 quickly. Get the easiest ways to solve the greatest common divisor of 132, 103, 214, 113 i.e 1 in different methods as follows.
Given Input numbers are 132, 103, 214, 113
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 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
GCD of numbers is the greatest common divisor
So, the GCD (132, 103, 214, 113) = 1.
Given numbers are 132, 103, 214, 113
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 103 are 103
Prime factors of 214 are 2 x 107
Prime factors of 113 are 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 103, 214, 113
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 103) = 13596
GCD(132, 103) = ( 132 x 103 ) / 13596
= 132 / 103
= 132
Step2:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
Step3:
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
= 1 / 113
= 1
So, Greatest Common Divisor of 132, 103, 214, 113 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 103, 214, 113
The greatest common divisor of numbers 132, 103, 214, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 103, 214, 113 is 1.
1. What is the GCD of 132, 103, 214, 113?
GCD of given numbers 132, 103, 214, 113 is 1
2. How to calculate the greatest common divisor of 132, 103, 214, 113?
We can find the highest common divisor of 132, 103, 214, 113 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, 103, 214, 113 i.e 1.
3. How can I use the GCD of 132, 103, 214, 113Calculator?
Out the numbers 132, 103, 214, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.