Online GCD Calculator is useful to find the GCD of 212, 220, 404, 492 quickly. Get the easiest ways to solve the greatest common divisor of 212, 220, 404, 492 i.e 4 in different methods as follows.
Given Input numbers are 212, 220, 404, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (212, 220, 404, 492) = 4.
Given numbers are 212, 220, 404, 492
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 404 are 2 x 2 x 101
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 212, 220, 404, 492 is 4.
Given numbers are 212, 220, 404, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 220) = 11660
GCD(212, 220) = ( 212 x 220 ) / 11660
= 212 / 220
= 212
Step2:
LCM(4, 404) = 404
GCD(4, 404) = ( 4 x 404 ) / 404
= 4 / 404
= 4
Step3:
LCM(4, 492) = 492
GCD(4, 492) = ( 4 x 492 ) / 492
= 4 / 492
= 4
So, Greatest Common Divisor of 212, 220, 404, 492 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 220, 404, 492
The greatest common divisor of numbers 212, 220, 404, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 220, 404, 492 is 4.
1. What is the GCD of 212, 220, 404, 492?
GCD of given numbers 212, 220, 404, 492 is 4
2. How to calculate the greatest common divisor of 212, 220, 404, 492?
We can find the highest common divisor of 212, 220, 404, 492 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 212, 220, 404, 492 i.e 4.
3. How can I use the GCD of 212, 220, 404, 492Calculator?
Out the numbers 212, 220, 404, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.