Online GCD Calculator is useful to find the GCD of 145, 990, 400 quickly. Get the easiest ways to solve the greatest common divisor of 145, 990, 400 i.e 5 in different methods as follows.
Given Input numbers are 145, 990, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
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 (145, 990, 400) = 5.
Given numbers are 145, 990, 400
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 145, 990, 400 is 5.
Given numbers are 145, 990, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 990) = 28710
GCD(145, 990) = ( 145 x 990 ) / 28710
= 145 / 990
= 145
Step2:
LCM(5, 400) = 400
GCD(5, 400) = ( 5 x 400 ) / 400
= 5 / 400
= 5
So, Greatest Common Divisor of 145, 990, 400 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 145, 990, 400
The greatest common divisor of numbers 145, 990, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 990, 400 is 5.
1. What is the GCD of 145, 990, 400?
GCD of given numbers 145, 990, 400 is 5
2. How to calculate the greatest common divisor of 145, 990, 400?
We can find the highest common divisor of 145, 990, 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 145, 990, 400 i.e 5.
3. How can I use the GCD of 145, 990, 400Calculator?
Out the numbers 145, 990, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.