Online GCD Calculator is useful to find the GCD of 132, 209, 332, 871 quickly. Get the easiest ways to solve the greatest common divisor of 132, 209, 332, 871 i.e 1 in different methods as follows.
Given Input numbers are 132, 209, 332, 871
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 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
GCD of numbers is the greatest common divisor
So, the GCD (132, 209, 332, 871) = 1.
Given numbers are 132, 209, 332, 871
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 209 are 11 x 19
Prime factors of 332 are 2 x 2 x 83
Prime factors of 871 are 13 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 209, 332, 871
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 209) = 2508
GCD(132, 209) = ( 132 x 209 ) / 2508
= 132 / 209
= 132
Step2:
LCM(11, 332) = 3652
GCD(11, 332) = ( 11 x 332 ) / 3652
= 11 / 332
= 11
Step3:
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
= 1 / 871
= 1
So, Greatest Common Divisor of 132, 209, 332, 871 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 209, 332, 871
The greatest common divisor of numbers 132, 209, 332, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 209, 332, 871 is 1.
1. What is the GCD of 132, 209, 332, 871?
GCD of given numbers 132, 209, 332, 871 is 1
2. How to calculate the greatest common divisor of 132, 209, 332, 871?
We can find the highest common divisor of 132, 209, 332, 871 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, 209, 332, 871 i.e 1.
3. How can I use the GCD of 132, 209, 332, 871Calculator?
Out the numbers 132, 209, 332, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.