Online GCD Calculator is useful to find the GCD of 400, 522, 712, 382 quickly. Get the easiest ways to solve the greatest common divisor of 400, 522, 712, 382 i.e 2 in different methods as follows.
Given Input numbers are 400, 522, 712, 382
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 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (400, 522, 712, 382) = 2.
Given numbers are 400, 522, 712, 382
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 522 are 2 x 3 x 3 x 29
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 382 are 2 x 191
The highest common occurrence is 21
Therefore, GCD of 400, 522, 712, 382 is 2.
Given numbers are 400, 522, 712, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 522) = 104400
GCD(400, 522) = ( 400 x 522 ) / 104400
= 400 / 522
= 400
Step2:
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
= 2 / 712
= 2
Step3:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
So, Greatest Common Divisor of 400, 522, 712, 382 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 522, 712, 382
The greatest common divisor of numbers 400, 522, 712, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 522, 712, 382 is 2.
1. What is the GCD of 400, 522, 712, 382?
GCD of given numbers 400, 522, 712, 382 is 2
2. How to calculate the greatest common divisor of 400, 522, 712, 382?
We can find the highest common divisor of 400, 522, 712, 382 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, 522, 712, 382 i.e 2.
3. How can I use the GCD of 400, 522, 712, 382Calculator?
Out the numbers 400, 522, 712, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.