Online GCD Calculator is useful to find the GCD of 825, 255, 214, 201 quickly. Get the easiest ways to solve the greatest common divisor of 825, 255, 214, 201 i.e 1 in different methods as follows.
Given Input numbers are 825, 255, 214, 201
In the factoring method, we have to find the divisors of all numbers
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
GCD of numbers is the greatest common divisor
So, the GCD (825, 255, 214, 201) = 1.
Given numbers are 825, 255, 214, 201
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 255 are 3 x 5 x 17
Prime factors of 214 are 2 x 107
Prime factors of 201 are 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 255, 214, 201
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 255) = 14025
GCD(825, 255) = ( 825 x 255 ) / 14025
= 825 / 255
= 825
Step2:
LCM(15, 214) = 3210
GCD(15, 214) = ( 15 x 214 ) / 3210
= 15 / 214
= 15
Step3:
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
= 1 / 201
= 1
So, Greatest Common Divisor of 825, 255, 214, 201 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 255, 214, 201
The greatest common divisor of numbers 825, 255, 214, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 255, 214, 201 is 1.
1. What is the GCD of 825, 255, 214, 201?
GCD of given numbers 825, 255, 214, 201 is 1
2. How to calculate the greatest common divisor of 825, 255, 214, 201?
We can find the highest common divisor of 825, 255, 214, 201 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 825, 255, 214, 201 i.e 1.
3. How can I use the GCD of 825, 255, 214, 201Calculator?
Out the numbers 825, 255, 214, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.