Online GCD Calculator is useful to find the GCD of 997, 200, 338, 350 quickly. Get the easiest ways to solve the greatest common divisor of 997, 200, 338, 350 i.e 1 in different methods as follows.
Given Input numbers are 997, 200, 338, 350
In the factoring method, we have to find the divisors of all numbers
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (997, 200, 338, 350) = 1.
Given numbers are 997, 200, 338, 350
The list of prime factors of all numbers are
Prime factors of 997 are 997
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 338 are 2 x 13 x 13
Prime factors of 350 are 2 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 997, 200, 338, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(997, 200) = 199400
GCD(997, 200) = ( 997 x 200 ) / 199400
= 997 / 200
= 997
Step2:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
Step3:
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
= 1 / 350
= 1
So, Greatest Common Divisor of 997, 200, 338, 350 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 997, 200, 338, 350
The greatest common divisor of numbers 997, 200, 338, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 997, 200, 338, 350 is 1.
1. What is the GCD of 997, 200, 338, 350?
GCD of given numbers 997, 200, 338, 350 is 1
2. How to calculate the greatest common divisor of 997, 200, 338, 350?
We can find the highest common divisor of 997, 200, 338, 350 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 997, 200, 338, 350 i.e 1.
3. How can I use the GCD of 997, 200, 338, 350Calculator?
Out the numbers 997, 200, 338, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.