Online GCD Calculator is useful to find the GCD of 132, 402, 109, 322 quickly. Get the easiest ways to solve the greatest common divisor of 132, 402, 109, 322 i.e 1 in different methods as follows.
Given Input numbers are 132, 402, 109, 322
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 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (132, 402, 109, 322) = 1.
Given numbers are 132, 402, 109, 322
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 402 are 2 x 3 x 67
Prime factors of 109 are 109
Prime factors of 322 are 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 402, 109, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 402) = 8844
GCD(132, 402) = ( 132 x 402 ) / 8844
= 132 / 402
= 132
Step2:
LCM(6, 109) = 654
GCD(6, 109) = ( 6 x 109 ) / 654
= 6 / 109
= 6
Step3:
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
= 1 / 322
= 1
So, Greatest Common Divisor of 132, 402, 109, 322 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 402, 109, 322
The greatest common divisor of numbers 132, 402, 109, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 402, 109, 322 is 1.
1. What is the GCD of 132, 402, 109, 322?
GCD of given numbers 132, 402, 109, 322 is 1
2. How to calculate the greatest common divisor of 132, 402, 109, 322?
We can find the highest common divisor of 132, 402, 109, 322 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, 402, 109, 322 i.e 1.
3. How can I use the GCD of 132, 402, 109, 322Calculator?
Out the numbers 132, 402, 109, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.