Online GCD Calculator is useful to find the GCD of 400, 218, 383, 116 quickly. Get the easiest ways to solve the greatest common divisor of 400, 218, 383, 116 i.e 1 in different methods as follows.
Given Input numbers are 400, 218, 383, 116
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 383 :
The positive integer divisors of 383 that completely divides 383 are.
1, 383
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (400, 218, 383, 116) = 1.
Given numbers are 400, 218, 383, 116
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 218 are 2 x 109
Prime factors of 383 are 383
Prime factors of 116 are 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 218, 383, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 218) = 43600
GCD(400, 218) = ( 400 x 218 ) / 43600
= 400 / 218
= 400
Step2:
LCM(2, 383) = 766
GCD(2, 383) = ( 2 x 383 ) / 766
= 2 / 383
= 2
Step3:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
So, Greatest Common Divisor of 400, 218, 383, 116 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 218, 383, 116
The greatest common divisor of numbers 400, 218, 383, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 218, 383, 116 is 1.
1. What is the GCD of 400, 218, 383, 116?
GCD of given numbers 400, 218, 383, 116 is 1
2. How to calculate the greatest common divisor of 400, 218, 383, 116?
We can find the highest common divisor of 400, 218, 383, 116 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 400, 218, 383, 116 i.e 1.
3. How can I use the GCD of 400, 218, 383, 116Calculator?
Out the numbers 400, 218, 383, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.