Online GCD Calculator is useful to find the GCD of 370, 612, 317, 106 quickly. Get the easiest ways to solve the greatest common divisor of 370, 612, 317, 106 i.e 1 in different methods as follows.
Given Input numbers are 370, 612, 317, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (370, 612, 317, 106) = 1.
Given numbers are 370, 612, 317, 106
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 317 are 317
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 370, 612, 317, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 612) = 113220
GCD(370, 612) = ( 370 x 612 ) / 113220
= 370 / 612
= 370
Step2:
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
= 2 / 317
= 2
Step3:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
So, Greatest Common Divisor of 370, 612, 317, 106 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 612, 317, 106
The greatest common divisor of numbers 370, 612, 317, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 612, 317, 106 is 1.
1. What is the GCD of 370, 612, 317, 106?
GCD of given numbers 370, 612, 317, 106 is 1
2. How to calculate the greatest common divisor of 370, 612, 317, 106?
We can find the highest common divisor of 370, 612, 317, 106 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 370, 612, 317, 106 i.e 1.
3. How can I use the GCD of 370, 612, 317, 106Calculator?
Out the numbers 370, 612, 317, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.