Online GCD Calculator is useful to find the GCD of 201, 222, 999, 801 quickly. Get the easiest ways to solve the greatest common divisor of 201, 222, 999, 801 i.e 3 in different methods as follows.
Given Input numbers are 201, 222, 999, 801
In the factoring method, we have to find the divisors of all numbers
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
GCD of numbers is the greatest common divisor
So, the GCD (201, 222, 999, 801) = 3.
Given numbers are 201, 222, 999, 801
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 222 are 2 x 3 x 37
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 801 are 3 x 3 x 89
The highest common occurrence is 31
Therefore, GCD of 201, 222, 999, 801 is 3.
Given numbers are 201, 222, 999, 801
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 222) = 14874
GCD(201, 222) = ( 201 x 222 ) / 14874
= 201 / 222
= 201
Step2:
LCM(3, 999) = 999
GCD(3, 999) = ( 3 x 999 ) / 999
= 3 / 999
= 3
Step3:
LCM(3, 801) = 801
GCD(3, 801) = ( 3 x 801 ) / 801
= 3 / 801
= 3
So, Greatest Common Divisor of 201, 222, 999, 801 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 222, 999, 801
The greatest common divisor of numbers 201, 222, 999, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 222, 999, 801 is 3.
1. What is the GCD of 201, 222, 999, 801?
GCD of given numbers 201, 222, 999, 801 is 3
2. How to calculate the greatest common divisor of 201, 222, 999, 801?
We can find the highest common divisor of 201, 222, 999, 801 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 201, 222, 999, 801 i.e 3.
3. How can I use the GCD of 201, 222, 999, 801Calculator?
Out the numbers 201, 222, 999, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.