Online GCD Calculator is useful to find the GCD of 400, 388, 880, 384 quickly. Get the easiest ways to solve the greatest common divisor of 400, 388, 880, 384 i.e 4 in different methods as follows.
Given Input numbers are 400, 388, 880, 384
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 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (400, 388, 880, 384) = 4.
Given numbers are 400, 388, 880, 384
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 388 are 2 x 2 x 97
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 22
Therefore, GCD of 400, 388, 880, 384 is 4.
Given numbers are 400, 388, 880, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 388) = 38800
GCD(400, 388) = ( 400 x 388 ) / 38800
= 400 / 388
= 400
Step2:
LCM(4, 880) = 880
GCD(4, 880) = ( 4 x 880 ) / 880
= 4 / 880
= 4
Step3:
LCM(4, 384) = 384
GCD(4, 384) = ( 4 x 384 ) / 384
= 4 / 384
= 4
So, Greatest Common Divisor of 400, 388, 880, 384 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 388, 880, 384
The greatest common divisor of numbers 400, 388, 880, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 388, 880, 384 is 4.
1. What is the GCD of 400, 388, 880, 384?
GCD of given numbers 400, 388, 880, 384 is 4
2. How to calculate the greatest common divisor of 400, 388, 880, 384?
We can find the highest common divisor of 400, 388, 880, 384 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, 388, 880, 384 i.e 4.
3. How can I use the GCD of 400, 388, 880, 384Calculator?
Out the numbers 400, 388, 880, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.