Online GCD Calculator is useful to find the GCD of 200, 422, 788, 344 quickly. Get the easiest ways to solve the greatest common divisor of 200, 422, 788, 344 i.e 2 in different methods as follows.
Given Input numbers are 200, 422, 788, 344
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 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (200, 422, 788, 344) = 2.
Given numbers are 200, 422, 788, 344
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 422 are 2 x 211
Prime factors of 788 are 2 x 2 x 197
Prime factors of 344 are 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 200, 422, 788, 344 is 2.
Given numbers are 200, 422, 788, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 422) = 42200
GCD(200, 422) = ( 200 x 422 ) / 42200
= 200 / 422
= 200
Step2:
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
= 2 / 788
= 2
Step3:
LCM(2, 344) = 344
GCD(2, 344) = ( 2 x 344 ) / 344
= 2 / 344
= 2
So, Greatest Common Divisor of 200, 422, 788, 344 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 422, 788, 344
The greatest common divisor of numbers 200, 422, 788, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 422, 788, 344 is 2.
1. What is the GCD of 200, 422, 788, 344?
GCD of given numbers 200, 422, 788, 344 is 2
2. How to calculate the greatest common divisor of 200, 422, 788, 344?
We can find the highest common divisor of 200, 422, 788, 344 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, 422, 788, 344 i.e 2.
3. How can I use the GCD of 200, 422, 788, 344Calculator?
Out the numbers 200, 422, 788, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.