Online GCD Calculator is useful to find the GCD of 884, 404, 378, 200 quickly. Get the easiest ways to solve the greatest common divisor of 884, 404, 378, 200 i.e 2 in different methods as follows.
Given Input numbers are 884, 404, 378, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (884, 404, 378, 200) = 2.
Given numbers are 884, 404, 378, 200
The list of prime factors of all numbers are
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 404 are 2 x 2 x 101
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 884, 404, 378, 200 is 2.
Given numbers are 884, 404, 378, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(884, 404) = 89284
GCD(884, 404) = ( 884 x 404 ) / 89284
= 884 / 404
= 884
Step2:
LCM(4, 378) = 756
GCD(4, 378) = ( 4 x 378 ) / 756
= 4 / 378
= 4
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 884, 404, 378, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 884, 404, 378, 200
The greatest common divisor of numbers 884, 404, 378, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 884, 404, 378, 200 is 2.
1. What is the GCD of 884, 404, 378, 200?
GCD of given numbers 884, 404, 378, 200 is 2
2. How to calculate the greatest common divisor of 884, 404, 378, 200?
We can find the highest common divisor of 884, 404, 378, 200 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 884, 404, 378, 200 i.e 2.
3. How can I use the GCD of 884, 404, 378, 200Calculator?
Out the numbers 884, 404, 378, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.