Online GCD Calculator is useful to find the GCD of 225, 570, 237, 798 quickly. Get the easiest ways to solve the greatest common divisor of 225, 570, 237, 798 i.e 3 in different methods as follows.
Given Input numbers are 225, 570, 237, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
GCD of numbers is the greatest common divisor
So, the GCD (225, 570, 237, 798) = 3.
Given numbers are 225, 570, 237, 798
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 237 are 3 x 79
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 31
Therefore, GCD of 225, 570, 237, 798 is 3.
Given numbers are 225, 570, 237, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 570) = 8550
GCD(225, 570) = ( 225 x 570 ) / 8550
= 225 / 570
= 225
Step2:
LCM(15, 237) = 1185
GCD(15, 237) = ( 15 x 237 ) / 1185
= 15 / 237
= 15
Step3:
LCM(3, 798) = 798
GCD(3, 798) = ( 3 x 798 ) / 798
= 3 / 798
= 3
So, Greatest Common Divisor of 225, 570, 237, 798 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 570, 237, 798
The greatest common divisor of numbers 225, 570, 237, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 570, 237, 798 is 3.
1. What is the GCD of 225, 570, 237, 798?
GCD of given numbers 225, 570, 237, 798 is 3
2. How to calculate the greatest common divisor of 225, 570, 237, 798?
We can find the highest common divisor of 225, 570, 237, 798 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 225, 570, 237, 798 i.e 3.
3. How can I use the GCD of 225, 570, 237, 798Calculator?
Out the numbers 225, 570, 237, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.