Online GCD Calculator is useful to find the GCD of 400, 404, 588, 872 quickly. Get the easiest ways to solve the greatest common divisor of 400, 404, 588, 872 i.e 4 in different methods as follows.
Given Input numbers are 400, 404, 588, 872
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 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (400, 404, 588, 872) = 4.
Given numbers are 400, 404, 588, 872
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 404 are 2 x 2 x 101
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 22
Therefore, GCD of 400, 404, 588, 872 is 4.
Given numbers are 400, 404, 588, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 404) = 40400
GCD(400, 404) = ( 400 x 404 ) / 40400
= 400 / 404
= 400
Step2:
LCM(4, 588) = 588
GCD(4, 588) = ( 4 x 588 ) / 588
= 4 / 588
= 4
Step3:
LCM(4, 872) = 872
GCD(4, 872) = ( 4 x 872 ) / 872
= 4 / 872
= 4
So, Greatest Common Divisor of 400, 404, 588, 872 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 404, 588, 872
The greatest common divisor of numbers 400, 404, 588, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 404, 588, 872 is 4.
1. What is the GCD of 400, 404, 588, 872?
GCD of given numbers 400, 404, 588, 872 is 4
2. How to calculate the greatest common divisor of 400, 404, 588, 872?
We can find the highest common divisor of 400, 404, 588, 872 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, 404, 588, 872 i.e 4.
3. How can I use the GCD of 400, 404, 588, 872Calculator?
Out the numbers 400, 404, 588, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.