Online GCD Calculator is useful to find the GCD of 400, 904, 652, 332 quickly. Get the easiest ways to solve the greatest common divisor of 400, 904, 652, 332 i.e 4 in different methods as follows.
Given Input numbers are 400, 904, 652, 332
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 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
GCD of numbers is the greatest common divisor
So, the GCD (400, 904, 652, 332) = 4.
Given numbers are 400, 904, 652, 332
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 904 are 2 x 2 x 2 x 113
Prime factors of 652 are 2 x 2 x 163
Prime factors of 332 are 2 x 2 x 83
The highest common occurrence is 22
Therefore, GCD of 400, 904, 652, 332 is 4.
Given numbers are 400, 904, 652, 332
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 904) = 45200
GCD(400, 904) = ( 400 x 904 ) / 45200
= 400 / 904
= 400
Step2:
LCM(8, 652) = 1304
GCD(8, 652) = ( 8 x 652 ) / 1304
= 8 / 652
= 8
Step3:
LCM(4, 332) = 332
GCD(4, 332) = ( 4 x 332 ) / 332
= 4 / 332
= 4
So, Greatest Common Divisor of 400, 904, 652, 332 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 904, 652, 332
The greatest common divisor of numbers 400, 904, 652, 332 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 904, 652, 332 is 4.
1. What is the GCD of 400, 904, 652, 332?
GCD of given numbers 400, 904, 652, 332 is 4
2. How to calculate the greatest common divisor of 400, 904, 652, 332?
We can find the highest common divisor of 400, 904, 652, 332 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, 904, 652, 332 i.e 4.
3. How can I use the GCD of 400, 904, 652, 332Calculator?
Out the numbers 400, 904, 652, 332 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.