Online GCD Calculator is useful to find the GCD of 106, 738, 397, 665 quickly. Get the easiest ways to solve the greatest common divisor of 106, 738, 397, 665 i.e 1 in different methods as follows.
Given Input numbers are 106, 738, 397, 665
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (106, 738, 397, 665) = 1.
Given numbers are 106, 738, 397, 665
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 397 are 397
Prime factors of 665 are 5 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 106, 738, 397, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 738) = 39114
GCD(106, 738) = ( 106 x 738 ) / 39114
= 106 / 738
= 106
Step2:
LCM(2, 397) = 794
GCD(2, 397) = ( 2 x 397 ) / 794
= 2 / 397
= 2
Step3:
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
= 1 / 665
= 1
So, Greatest Common Divisor of 106, 738, 397, 665 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 738, 397, 665
The greatest common divisor of numbers 106, 738, 397, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 738, 397, 665 is 1.
1. What is the GCD of 106, 738, 397, 665?
GCD of given numbers 106, 738, 397, 665 is 1
2. How to calculate the greatest common divisor of 106, 738, 397, 665?
We can find the highest common divisor of 106, 738, 397, 665 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 106, 738, 397, 665 i.e 1.
3. How can I use the GCD of 106, 738, 397, 665Calculator?
Out the numbers 106, 738, 397, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.