Online GCD Calculator is useful to find the GCD of 188, 496, 370, 400 quickly. Get the easiest ways to solve the greatest common divisor of 188, 496, 370, 400 i.e 2 in different methods as follows.
Given Input numbers are 188, 496, 370, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
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 (188, 496, 370, 400) = 2.
Given numbers are 188, 496, 370, 400
The list of prime factors of all numbers are
Prime factors of 188 are 2 x 2 x 47
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 370 are 2 x 5 x 37
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 188, 496, 370, 400 is 2.
Given numbers are 188, 496, 370, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(188, 496) = 23312
GCD(188, 496) = ( 188 x 496 ) / 23312
= 188 / 496
= 188
Step2:
LCM(4, 370) = 740
GCD(4, 370) = ( 4 x 370 ) / 740
= 4 / 370
= 4
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 188, 496, 370, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 188, 496, 370, 400
The greatest common divisor of numbers 188, 496, 370, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 496, 370, 400 is 2.
1. What is the GCD of 188, 496, 370, 400?
GCD of given numbers 188, 496, 370, 400 is 2
2. How to calculate the greatest common divisor of 188, 496, 370, 400?
We can find the highest common divisor of 188, 496, 370, 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 188, 496, 370, 400 i.e 2.
3. How can I use the GCD of 188, 496, 370, 400Calculator?
Out the numbers 188, 496, 370, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.