Online GCD Calculator is useful to find the GCD of 318, 964, 512, 109 quickly. Get the easiest ways to solve the greatest common divisor of 318, 964, 512, 109 i.e 1 in different methods as follows.
Given Input numbers are 318, 964, 512, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (318, 964, 512, 109) = 1.
Given numbers are 318, 964, 512, 109
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 964 are 2 x 2 x 241
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 318, 964, 512, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 964) = 153276
GCD(318, 964) = ( 318 x 964 ) / 153276
= 318 / 964
= 318
Step2:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
Step3:
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
So, Greatest Common Divisor of 318, 964, 512, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 964, 512, 109
The greatest common divisor of numbers 318, 964, 512, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 964, 512, 109 is 1.
1. What is the GCD of 318, 964, 512, 109?
GCD of given numbers 318, 964, 512, 109 is 1
2. How to calculate the greatest common divisor of 318, 964, 512, 109?
We can find the highest common divisor of 318, 964, 512, 109 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 318, 964, 512, 109 i.e 1.
3. How can I use the GCD of 318, 964, 512, 109Calculator?
Out the numbers 318, 964, 512, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.