Online GCD Calculator is useful to find the GCD of 996, 514, 452, 400 quickly. Get the easiest ways to solve the greatest common divisor of 996, 514, 452, 400 i.e 2 in different methods as follows.
Given Input numbers are 996, 514, 452, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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 (996, 514, 452, 400) = 2.
Given numbers are 996, 514, 452, 400
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 514 are 2 x 257
Prime factors of 452 are 2 x 2 x 113
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 996, 514, 452, 400 is 2.
Given numbers are 996, 514, 452, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 514) = 255972
GCD(996, 514) = ( 996 x 514 ) / 255972
= 996 / 514
= 996
Step2:
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
= 2 / 452
= 2
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 996, 514, 452, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 514, 452, 400
The greatest common divisor of numbers 996, 514, 452, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 514, 452, 400 is 2.
1. What is the GCD of 996, 514, 452, 400?
GCD of given numbers 996, 514, 452, 400 is 2
2. How to calculate the greatest common divisor of 996, 514, 452, 400?
We can find the highest common divisor of 996, 514, 452, 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 996, 514, 452, 400 i.e 2.
3. How can I use the GCD of 996, 514, 452, 400Calculator?
Out the numbers 996, 514, 452, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.