Online GCD Calculator is useful to find the GCD of 220, 400, 166, 384 quickly. Get the easiest ways to solve the greatest common divisor of 220, 400, 166, 384 i.e 2 in different methods as follows.
Given Input numbers are 220, 400, 166, 384
In the factoring method, we have to find the divisors of all numbers
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (220, 400, 166, 384) = 2.
Given numbers are 220, 400, 166, 384
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 166 are 2 x 83
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 220, 400, 166, 384 is 2.
Given numbers are 220, 400, 166, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 400) = 4400
GCD(220, 400) = ( 220 x 400 ) / 4400
= 220 / 400
= 220
Step2:
LCM(20, 166) = 1660
GCD(20, 166) = ( 20 x 166 ) / 1660
= 20 / 166
= 20
Step3:
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
= 2 / 384
= 2
So, Greatest Common Divisor of 220, 400, 166, 384 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 400, 166, 384
The greatest common divisor of numbers 220, 400, 166, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 400, 166, 384 is 2.
1. What is the GCD of 220, 400, 166, 384?
GCD of given numbers 220, 400, 166, 384 is 2
2. How to calculate the greatest common divisor of 220, 400, 166, 384?
We can find the highest common divisor of 220, 400, 166, 384 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 220, 400, 166, 384 i.e 2.
3. How can I use the GCD of 220, 400, 166, 384Calculator?
Out the numbers 220, 400, 166, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.