Online GCD Calculator is useful to find the GCD of 314, 559, 105, 132 quickly. Get the easiest ways to solve the greatest common divisor of 314, 559, 105, 132 i.e 1 in different methods as follows.
Given Input numbers are 314, 559, 105, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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
GCD of numbers is the greatest common divisor
So, the GCD (314, 559, 105, 132) = 1.
Given numbers are 314, 559, 105, 132
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 559 are 13 x 43
Prime factors of 105 are 3 x 5 x 7
Prime factors of 132 are 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 314, 559, 105, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 559) = 175526
GCD(314, 559) = ( 314 x 559 ) / 175526
= 314 / 559
= 314
Step2:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 314, 559, 105, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 559, 105, 132
The greatest common divisor of numbers 314, 559, 105, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 559, 105, 132 is 1.
1. What is the GCD of 314, 559, 105, 132?
GCD of given numbers 314, 559, 105, 132 is 1
2. How to calculate the greatest common divisor of 314, 559, 105, 132?
We can find the highest common divisor of 314, 559, 105, 132 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 314, 559, 105, 132 i.e 1.
3. How can I use the GCD of 314, 559, 105, 132Calculator?
Out the numbers 314, 559, 105, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.