Online GCD Calculator is useful to find the GCD of 110, 132, 490, 404 quickly. Get the easiest ways to solve the greatest common divisor of 110, 132, 490, 404 i.e 2 in different methods as follows.
Given Input numbers are 110, 132, 490, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (110, 132, 490, 404) = 2.
Given numbers are 110, 132, 490, 404
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 404 are 2 x 2 x 101
The highest common occurrence is 21
Therefore, GCD of 110, 132, 490, 404 is 2.
Given numbers are 110, 132, 490, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 132) = 660
GCD(110, 132) = ( 110 x 132 ) / 660
= 110 / 132
= 110
Step2:
LCM(22, 490) = 5390
GCD(22, 490) = ( 22 x 490 ) / 5390
= 22 / 490
= 22
Step3:
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
= 2 / 404
= 2
So, Greatest Common Divisor of 110, 132, 490, 404 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 132, 490, 404
The greatest common divisor of numbers 110, 132, 490, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 132, 490, 404 is 2.
1. What is the GCD of 110, 132, 490, 404?
GCD of given numbers 110, 132, 490, 404 is 2
2. How to calculate the greatest common divisor of 110, 132, 490, 404?
We can find the highest common divisor of 110, 132, 490, 404 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 110, 132, 490, 404 i.e 2.
3. How can I use the GCD of 110, 132, 490, 404Calculator?
Out the numbers 110, 132, 490, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.