Online GCD Calculator is useful to find the GCD of 132, 122, 765, 311 quickly. Get the easiest ways to solve the greatest common divisor of 132, 122, 765, 311 i.e 1 in different methods as follows.
Given Input numbers are 132, 122, 765, 311
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 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
GCD of numbers is the greatest common divisor
So, the GCD (132, 122, 765, 311) = 1.
Given numbers are 132, 122, 765, 311
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 122 are 2 x 61
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 311 are 311
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 122, 765, 311
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 122) = 8052
GCD(132, 122) = ( 132 x 122 ) / 8052
= 132 / 122
= 132
Step2:
LCM(2, 765) = 1530
GCD(2, 765) = ( 2 x 765 ) / 1530
= 2 / 765
= 2
Step3:
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
= 1 / 311
= 1
So, Greatest Common Divisor of 132, 122, 765, 311 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 122, 765, 311
The greatest common divisor of numbers 132, 122, 765, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 122, 765, 311 is 1.
1. What is the GCD of 132, 122, 765, 311?
GCD of given numbers 132, 122, 765, 311 is 1
2. How to calculate the greatest common divisor of 132, 122, 765, 311?
We can find the highest common divisor of 132, 122, 765, 311 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, 122, 765, 311 i.e 1.
3. How can I use the GCD of 132, 122, 765, 311Calculator?
Out the numbers 132, 122, 765, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.