Online GCD Calculator is useful to find the GCD of 994, 226, 218, 400 quickly. Get the easiest ways to solve the greatest common divisor of 994, 226, 218, 400 i.e 2 in different methods as follows.
Given Input numbers are 994, 226, 218, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (994, 226, 218, 400) = 2.
Given numbers are 994, 226, 218, 400
The list of prime factors of all numbers are
Prime factors of 994 are 2 x 7 x 71
Prime factors of 226 are 2 x 113
Prime factors of 218 are 2 x 109
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 994, 226, 218, 400 is 2.
Given numbers are 994, 226, 218, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(994, 226) = 112322
GCD(994, 226) = ( 994 x 226 ) / 112322
= 994 / 226
= 994
Step2:
LCM(2, 218) = 218
GCD(2, 218) = ( 2 x 218 ) / 218
= 2 / 218
= 2
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 994, 226, 218, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 994, 226, 218, 400
The greatest common divisor of numbers 994, 226, 218, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 226, 218, 400 is 2.
1. What is the GCD of 994, 226, 218, 400?
GCD of given numbers 994, 226, 218, 400 is 2
2. How to calculate the greatest common divisor of 994, 226, 218, 400?
We can find the highest common divisor of 994, 226, 218, 400 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 994, 226, 218, 400 i.e 2.
3. How can I use the GCD of 994, 226, 218, 400Calculator?
Out the numbers 994, 226, 218, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.