Online GCD Calculator is useful to find the GCD of 996, 488, 474, 402 quickly. Get the easiest ways to solve the greatest common divisor of 996, 488, 474, 402 i.e 2 in different methods as follows.
Given Input numbers are 996, 488, 474, 402
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 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (996, 488, 474, 402) = 2.
Given numbers are 996, 488, 474, 402
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 474 are 2 x 3 x 79
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 996, 488, 474, 402 is 2.
Given numbers are 996, 488, 474, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 488) = 121512
GCD(996, 488) = ( 996 x 488 ) / 121512
= 996 / 488
= 996
Step2:
LCM(4, 474) = 948
GCD(4, 474) = ( 4 x 474 ) / 948
= 4 / 474
= 4
Step3:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
So, Greatest Common Divisor of 996, 488, 474, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 488, 474, 402
The greatest common divisor of numbers 996, 488, 474, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 488, 474, 402 is 2.
1. What is the GCD of 996, 488, 474, 402?
GCD of given numbers 996, 488, 474, 402 is 2
2. How to calculate the greatest common divisor of 996, 488, 474, 402?
We can find the highest common divisor of 996, 488, 474, 402 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, 488, 474, 402 i.e 2.
3. How can I use the GCD of 996, 488, 474, 402Calculator?
Out the numbers 996, 488, 474, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.