Online GCD Calculator is useful to find the GCD of 200, 167, 198, 403 quickly. Get the easiest ways to solve the greatest common divisor of 200, 167, 198, 403 i.e 1 in different methods as follows.
Given Input numbers are 200, 167, 198, 403
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 167 :
The positive integer divisors of 167 that completely divides 167 are.
1, 167
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
GCD of numbers is the greatest common divisor
So, the GCD (200, 167, 198, 403) = 1.
Given numbers are 200, 167, 198, 403
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 167 are 167
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 403 are 13 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 167, 198, 403
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 167) = 33400
GCD(200, 167) = ( 200 x 167 ) / 33400
= 200 / 167
= 200
Step2:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
Step3:
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
= 1 / 403
= 1
So, Greatest Common Divisor of 200, 167, 198, 403 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 167, 198, 403
The greatest common divisor of numbers 200, 167, 198, 403 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 167, 198, 403 is 1.
1. What is the GCD of 200, 167, 198, 403?
GCD of given numbers 200, 167, 198, 403 is 1
2. How to calculate the greatest common divisor of 200, 167, 198, 403?
We can find the highest common divisor of 200, 167, 198, 403 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, 167, 198, 403 i.e 1.
3. How can I use the GCD of 200, 167, 198, 403Calculator?
Out the numbers 200, 167, 198, 403 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.