Online GCD Calculator is useful to find the GCD of 131, 732, 306, 217 quickly. Get the easiest ways to solve the greatest common divisor of 131, 732, 306, 217 i.e 1 in different methods as follows.
Given Input numbers are 131, 732, 306, 217
In the factoring method, we have to find the divisors of all numbers
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (131, 732, 306, 217) = 1.
Given numbers are 131, 732, 306, 217
The list of prime factors of all numbers are
Prime factors of 131 are 131
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 131, 732, 306, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(131, 732) = 95892
GCD(131, 732) = ( 131 x 732 ) / 95892
= 131 / 732
= 131
Step2:
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
= 1 / 306
= 1
Step3:
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
= 1 / 217
= 1
So, Greatest Common Divisor of 131, 732, 306, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 131, 732, 306, 217
The greatest common divisor of numbers 131, 732, 306, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 732, 306, 217 is 1.
1. What is the GCD of 131, 732, 306, 217?
GCD of given numbers 131, 732, 306, 217 is 1
2. How to calculate the greatest common divisor of 131, 732, 306, 217?
We can find the highest common divisor of 131, 732, 306, 217 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 131, 732, 306, 217 i.e 1.
3. How can I use the GCD of 131, 732, 306, 217Calculator?
Out the numbers 131, 732, 306, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.