Online GCD Calculator is useful to find the GCD of 237, 963, 345 quickly. Get the easiest ways to solve the greatest common divisor of 237, 963, 345 i.e 3 in different methods as follows.
Given Input numbers are 237, 963, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (237, 963, 345) = 3.
Given numbers are 237, 963, 345
The list of prime factors of all numbers are
Prime factors of 237 are 3 x 79
Prime factors of 963 are 3 x 3 x 107
Prime factors of 345 are 3 x 5 x 23
The highest common occurrence is 31
Therefore, GCD of 237, 963, 345 is 3.
Given numbers are 237, 963, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(237, 963) = 76077
GCD(237, 963) = ( 237 x 963 ) / 76077
= 237 / 963
= 237
Step2:
LCM(3, 345) = 345
GCD(3, 345) = ( 3 x 345 ) / 345
= 3 / 345
= 3
So, Greatest Common Divisor of 237, 963, 345 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 237, 963, 345
The greatest common divisor of numbers 237, 963, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 963, 345 is 3.
1. What is the GCD of 237, 963, 345?
GCD of given numbers 237, 963, 345 is 3
2. How to calculate the greatest common divisor of 237, 963, 345?
We can find the highest common divisor of 237, 963, 345 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 237, 963, 345 i.e 3.
3. How can I use the GCD of 237, 963, 345Calculator?
Out the numbers 237, 963, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.