Online GCD Calculator is useful to find the GCD of 201, 693, 303, 267 quickly. Get the easiest ways to solve the greatest common divisor of 201, 693, 303, 267 i.e 3 in different methods as follows.
Given Input numbers are 201, 693, 303, 267
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 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (201, 693, 303, 267) = 3.
Given numbers are 201, 693, 303, 267
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 303 are 3 x 101
Prime factors of 267 are 3 x 89
The highest common occurrence is 31
Therefore, GCD of 201, 693, 303, 267 is 3.
Given numbers are 201, 693, 303, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 693) = 46431
GCD(201, 693) = ( 201 x 693 ) / 46431
= 201 / 693
= 201
Step2:
LCM(3, 303) = 303
GCD(3, 303) = ( 3 x 303 ) / 303
= 3 / 303
= 3
Step3:
LCM(3, 267) = 267
GCD(3, 267) = ( 3 x 267 ) / 267
= 3 / 267
= 3
So, Greatest Common Divisor of 201, 693, 303, 267 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 693, 303, 267
The greatest common divisor of numbers 201, 693, 303, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 693, 303, 267 is 3.
1. What is the GCD of 201, 693, 303, 267?
GCD of given numbers 201, 693, 303, 267 is 3
2. How to calculate the greatest common divisor of 201, 693, 303, 267?
We can find the highest common divisor of 201, 693, 303, 267 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, 693, 303, 267 i.e 3.
3. How can I use the GCD of 201, 693, 303, 267Calculator?
Out the numbers 201, 693, 303, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.