Online GCD Calculator is useful to find the GCD of 240, 126, 327, 237 quickly. Get the easiest ways to solve the greatest common divisor of 240, 126, 327, 237 i.e 3 in different methods as follows.
Given Input numbers are 240, 126, 327, 237
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
GCD of numbers is the greatest common divisor
So, the GCD (240, 126, 327, 237) = 3.
Given numbers are 240, 126, 327, 237
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 327 are 3 x 109
Prime factors of 237 are 3 x 79
The highest common occurrence is 31
Therefore, GCD of 240, 126, 327, 237 is 3.
Given numbers are 240, 126, 327, 237
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 126) = 5040
GCD(240, 126) = ( 240 x 126 ) / 5040
= 240 / 126
= 240
Step2:
LCM(6, 327) = 654
GCD(6, 327) = ( 6 x 327 ) / 654
= 6 / 327
= 6
Step3:
LCM(3, 237) = 237
GCD(3, 237) = ( 3 x 237 ) / 237
= 3 / 237
= 3
So, Greatest Common Divisor of 240, 126, 327, 237 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 126, 327, 237
The greatest common divisor of numbers 240, 126, 327, 237 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 126, 327, 237 is 3.
1. What is the GCD of 240, 126, 327, 237?
GCD of given numbers 240, 126, 327, 237 is 3
2. How to calculate the greatest common divisor of 240, 126, 327, 237?
We can find the highest common divisor of 240, 126, 327, 237 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 240, 126, 327, 237 i.e 3.
3. How can I use the GCD of 240, 126, 327, 237Calculator?
Out the numbers 240, 126, 327, 237 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.