Online GCD Calculator is useful to find the GCD of 442, 412, 820, 212 quickly. Get the easiest ways to solve the greatest common divisor of 442, 412, 820, 212 i.e 2 in different methods as follows.
Given Input numbers are 442, 412, 820, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
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
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (442, 412, 820, 212) = 2.
Given numbers are 442, 412, 820, 212
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 412 are 2 x 2 x 103
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 442, 412, 820, 212 is 2.
Given numbers are 442, 412, 820, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 412) = 91052
GCD(442, 412) = ( 442 x 412 ) / 91052
= 442 / 412
= 442
Step2:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
Step3:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
So, Greatest Common Divisor of 442, 412, 820, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 412, 820, 212
The greatest common divisor of numbers 442, 412, 820, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 412, 820, 212 is 2.
1. What is the GCD of 442, 412, 820, 212?
GCD of given numbers 442, 412, 820, 212 is 2
2. How to calculate the greatest common divisor of 442, 412, 820, 212?
We can find the highest common divisor of 442, 412, 820, 212 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 442, 412, 820, 212 i.e 2.
3. How can I use the GCD of 442, 412, 820, 212Calculator?
Out the numbers 442, 412, 820, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.