Online GCD Calculator is useful to find the GCD of 400, 355, 188, 800 quickly. Get the easiest ways to solve the greatest common divisor of 400, 355, 188, 800 i.e 1 in different methods as follows.
Given Input numbers are 400, 355, 188, 800
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 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
GCD of numbers is the greatest common divisor
So, the GCD (400, 355, 188, 800) = 1.
Given numbers are 400, 355, 188, 800
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 355 are 5 x 71
Prime factors of 188 are 2 x 2 x 47
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 355, 188, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 355) = 28400
GCD(400, 355) = ( 400 x 355 ) / 28400
= 400 / 355
= 400
Step2:
LCM(5, 188) = 940
GCD(5, 188) = ( 5 x 188 ) / 940
= 5 / 188
= 5
Step3:
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
= 1 / 800
= 1
So, Greatest Common Divisor of 400, 355, 188, 800 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 355, 188, 800
The greatest common divisor of numbers 400, 355, 188, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 355, 188, 800 is 1.
1. What is the GCD of 400, 355, 188, 800?
GCD of given numbers 400, 355, 188, 800 is 1
2. How to calculate the greatest common divisor of 400, 355, 188, 800?
We can find the highest common divisor of 400, 355, 188, 800 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, 355, 188, 800 i.e 1.
3. How can I use the GCD of 400, 355, 188, 800Calculator?
Out the numbers 400, 355, 188, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.