Online GCD Calculator is useful to find the GCD of 200, 767, 401, 990 quickly. Get the easiest ways to solve the greatest common divisor of 200, 767, 401, 990 i.e 1 in different methods as follows.
Given Input numbers are 200, 767, 401, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
Divisors of 401 :
The positive integer divisors of 401 that completely divides 401 are.
1, 401
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (200, 767, 401, 990) = 1.
Given numbers are 200, 767, 401, 990
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 767 are 13 x 59
Prime factors of 401 are 401
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 767, 401, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 767) = 153400
GCD(200, 767) = ( 200 x 767 ) / 153400
= 200 / 767
= 200
Step2:
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
= 1 / 401
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 200, 767, 401, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 767, 401, 990
The greatest common divisor of numbers 200, 767, 401, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 767, 401, 990 is 1.
1. What is the GCD of 200, 767, 401, 990?
GCD of given numbers 200, 767, 401, 990 is 1
2. How to calculate the greatest common divisor of 200, 767, 401, 990?
We can find the highest common divisor of 200, 767, 401, 990 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 200, 767, 401, 990 i.e 1.
3. How can I use the GCD of 200, 767, 401, 990Calculator?
Out the numbers 200, 767, 401, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.