Online GCD Calculator is useful to find the GCD of 200, 347, 422 quickly. Get the easiest ways to solve the greatest common divisor of 200, 347, 422 i.e 1 in different methods as follows.
Given Input numbers are 200, 347, 422
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 347 :
The positive integer divisors of 347 that completely divides 347 are.
1, 347
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (200, 347, 422) = 1.
Given numbers are 200, 347, 422
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 347 are 347
Prime factors of 422 are 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 347, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 347) = 69400
GCD(200, 347) = ( 200 x 347 ) / 69400
= 200 / 347
= 200
Step2:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
So, Greatest Common Divisor of 200, 347, 422 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 347, 422
The greatest common divisor of numbers 200, 347, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 347, 422 is 1.
1. What is the GCD of 200, 347, 422?
GCD of given numbers 200, 347, 422 is 1
2. How to calculate the greatest common divisor of 200, 347, 422?
We can find the highest common divisor of 200, 347, 422 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, 347, 422 i.e 1.
3. How can I use the GCD of 200, 347, 422Calculator?
Out the numbers 200, 347, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.