Online GCD Calculator is useful to find the GCD of 201, 367, 760, 400 quickly. Get the easiest ways to solve the greatest common divisor of 201, 367, 760, 400 i.e 1 in different methods as follows.
Given Input numbers are 201, 367, 760, 400
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 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (201, 367, 760, 400) = 1.
Given numbers are 201, 367, 760, 400
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 367 are 367
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 201, 367, 760, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 367) = 73767
GCD(201, 367) = ( 201 x 367 ) / 73767
= 201 / 367
= 201
Step2:
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
= 1 / 760
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 201, 367, 760, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 367, 760, 400
The greatest common divisor of numbers 201, 367, 760, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 367, 760, 400 is 1.
1. What is the GCD of 201, 367, 760, 400?
GCD of given numbers 201, 367, 760, 400 is 1
2. How to calculate the greatest common divisor of 201, 367, 760, 400?
We can find the highest common divisor of 201, 367, 760, 400 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, 367, 760, 400 i.e 1.
3. How can I use the GCD of 201, 367, 760, 400Calculator?
Out the numbers 201, 367, 760, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.