Online GCD Calculator is useful to find the GCD of 495, 237, 210, 228 quickly. Get the easiest ways to solve the greatest common divisor of 495, 237, 210, 228 i.e 3 in different methods as follows.
Given Input numbers are 495, 237, 210, 228
In the factoring method, we have to find the divisors of all numbers
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (495, 237, 210, 228) = 3.
Given numbers are 495, 237, 210, 228
The list of prime factors of all numbers are
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 237 are 3 x 79
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 495, 237, 210, 228 is 3.
Given numbers are 495, 237, 210, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(495, 237) = 39105
GCD(495, 237) = ( 495 x 237 ) / 39105
= 495 / 237
= 495
Step2:
LCM(3, 210) = 210
GCD(3, 210) = ( 3 x 210 ) / 210
= 3 / 210
= 3
Step3:
LCM(3, 228) = 228
GCD(3, 228) = ( 3 x 228 ) / 228
= 3 / 228
= 3
So, Greatest Common Divisor of 495, 237, 210, 228 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 495, 237, 210, 228
The greatest common divisor of numbers 495, 237, 210, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 237, 210, 228 is 3.
1. What is the GCD of 495, 237, 210, 228?
GCD of given numbers 495, 237, 210, 228 is 3
2. How to calculate the greatest common divisor of 495, 237, 210, 228?
We can find the highest common divisor of 495, 237, 210, 228 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 495, 237, 210, 228 i.e 3.
3. How can I use the GCD of 495, 237, 210, 228Calculator?
Out the numbers 495, 237, 210, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.