Online GCD Calculator is useful to find the GCD of 331, 106, 972, 717 quickly. Get the easiest ways to solve the greatest common divisor of 331, 106, 972, 717 i.e 1 in different methods as follows.
Given Input numbers are 331, 106, 972, 717
In the factoring method, we have to find the divisors of all numbers
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
GCD of numbers is the greatest common divisor
So, the GCD (331, 106, 972, 717) = 1.
Given numbers are 331, 106, 972, 717
The list of prime factors of all numbers are
Prime factors of 331 are 331
Prime factors of 106 are 2 x 53
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 717 are 3 x 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 331, 106, 972, 717
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(331, 106) = 35086
GCD(331, 106) = ( 331 x 106 ) / 35086
= 331 / 106
= 331
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
= 1 / 717
= 1
So, Greatest Common Divisor of 331, 106, 972, 717 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 331, 106, 972, 717
The greatest common divisor of numbers 331, 106, 972, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 331, 106, 972, 717 is 1.
1. What is the GCD of 331, 106, 972, 717?
GCD of given numbers 331, 106, 972, 717 is 1
2. How to calculate the greatest common divisor of 331, 106, 972, 717?
We can find the highest common divisor of 331, 106, 972, 717 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 331, 106, 972, 717 i.e 1.
3. How can I use the GCD of 331, 106, 972, 717Calculator?
Out the numbers 331, 106, 972, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.