Online GCD Calculator is useful to find the GCD of 309, 432, 397, 370 quickly. Get the easiest ways to solve the greatest common divisor of 309, 432, 397, 370 i.e 1 in different methods as follows.
Given Input numbers are 309, 432, 397, 370
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
GCD of numbers is the greatest common divisor
So, the GCD (309, 432, 397, 370) = 1.
Given numbers are 309, 432, 397, 370
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 397 are 397
Prime factors of 370 are 2 x 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 432, 397, 370
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 432) = 44496
GCD(309, 432) = ( 309 x 432 ) / 44496
= 309 / 432
= 309
Step2:
LCM(3, 397) = 1191
GCD(3, 397) = ( 3 x 397 ) / 1191
= 3 / 397
= 3
Step3:
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
= 1 / 370
= 1
So, Greatest Common Divisor of 309, 432, 397, 370 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 432, 397, 370
The greatest common divisor of numbers 309, 432, 397, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 432, 397, 370 is 1.
1. What is the GCD of 309, 432, 397, 370?
GCD of given numbers 309, 432, 397, 370 is 1
2. How to calculate the greatest common divisor of 309, 432, 397, 370?
We can find the highest common divisor of 309, 432, 397, 370 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 309, 432, 397, 370 i.e 1.
3. How can I use the GCD of 309, 432, 397, 370Calculator?
Out the numbers 309, 432, 397, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.