Online GCD Calculator is useful to find the GCD of 237, 270, 363 quickly. Get the easiest ways to solve the greatest common divisor of 237, 270, 363 i.e 3 in different methods as follows.
Given Input numbers are 237, 270, 363
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (237, 270, 363) = 3.
Given numbers are 237, 270, 363
The list of prime factors of all numbers are
Prime factors of 237 are 3 x 79
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 237, 270, 363 is 3.
Given numbers are 237, 270, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(237, 270) = 21330
GCD(237, 270) = ( 237 x 270 ) / 21330
= 237 / 270
= 237
Step2:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 237, 270, 363 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 237, 270, 363
The greatest common divisor of numbers 237, 270, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 270, 363 is 3.
1. What is the GCD of 237, 270, 363?
GCD of given numbers 237, 270, 363 is 3
2. How to calculate the greatest common divisor of 237, 270, 363?
We can find the highest common divisor of 237, 270, 363 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, 270, 363 i.e 3.
3. How can I use the GCD of 237, 270, 363Calculator?
Out the numbers 237, 270, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.