Online GCD Calculator is useful to find the GCD of 996, 212, 346, 820 quickly. Get the easiest ways to solve the greatest common divisor of 996, 212, 346, 820 i.e 2 in different methods as follows.
Given Input numbers are 996, 212, 346, 820
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 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (996, 212, 346, 820) = 2.
Given numbers are 996, 212, 346, 820
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 212 are 2 x 2 x 53
Prime factors of 346 are 2 x 173
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 996, 212, 346, 820 is 2.
Given numbers are 996, 212, 346, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 212) = 52788
GCD(996, 212) = ( 996 x 212 ) / 52788
= 996 / 212
= 996
Step2:
LCM(4, 346) = 692
GCD(4, 346) = ( 4 x 346 ) / 692
= 4 / 346
= 4
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 996, 212, 346, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 212, 346, 820
The greatest common divisor of numbers 996, 212, 346, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 212, 346, 820 is 2.
1. What is the GCD of 996, 212, 346, 820?
GCD of given numbers 996, 212, 346, 820 is 2
2. How to calculate the greatest common divisor of 996, 212, 346, 820?
We can find the highest common divisor of 996, 212, 346, 820 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, 212, 346, 820 i.e 2.
3. How can I use the GCD of 996, 212, 346, 820Calculator?
Out the numbers 996, 212, 346, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.