Online GCD Calculator is useful to find the GCD of 378, 344, 200, 603 quickly. Get the easiest ways to solve the greatest common divisor of 378, 344, 200, 603 i.e 1 in different methods as follows.
Given Input numbers are 378, 344, 200, 603
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
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 603 :
The positive integer divisors of 603 that completely divides 603 are.
1, 3, 9, 67, 201, 603
GCD of numbers is the greatest common divisor
So, the GCD (378, 344, 200, 603) = 1.
Given numbers are 378, 344, 200, 603
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 603 are 3 x 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 344, 200, 603
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 344) = 65016
GCD(378, 344) = ( 378 x 344 ) / 65016
= 378 / 344
= 378
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 603) = 1206
GCD(2, 603) = ( 2 x 603 ) / 1206
= 2 / 603
= 2
So, Greatest Common Divisor of 378, 344, 200, 603 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 344, 200, 603
The greatest common divisor of numbers 378, 344, 200, 603 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 344, 200, 603 is 1.
1. What is the GCD of 378, 344, 200, 603?
GCD of given numbers 378, 344, 200, 603 is 1
2. How to calculate the greatest common divisor of 378, 344, 200, 603?
We can find the highest common divisor of 378, 344, 200, 603 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 378, 344, 200, 603 i.e 1.
3. How can I use the GCD of 378, 344, 200, 603Calculator?
Out the numbers 378, 344, 200, 603 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.