Online GCD Calculator is useful to find the GCD of 890, 188, 216, 472 quickly. Get the easiest ways to solve the greatest common divisor of 890, 188, 216, 472 i.e 2 in different methods as follows.
Given Input numbers are 890, 188, 216, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (890, 188, 216, 472) = 2.
Given numbers are 890, 188, 216, 472
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 188 are 2 x 2 x 47
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 890, 188, 216, 472 is 2.
Given numbers are 890, 188, 216, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 188) = 83660
GCD(890, 188) = ( 890 x 188 ) / 83660
= 890 / 188
= 890
Step2:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
Step3:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
So, Greatest Common Divisor of 890, 188, 216, 472 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 890, 188, 216, 472
The greatest common divisor of numbers 890, 188, 216, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 188, 216, 472 is 2.
1. What is the GCD of 890, 188, 216, 472?
GCD of given numbers 890, 188, 216, 472 is 2
2. How to calculate the greatest common divisor of 890, 188, 216, 472?
We can find the highest common divisor of 890, 188, 216, 472 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 890, 188, 216, 472 i.e 2.
3. How can I use the GCD of 890, 188, 216, 472Calculator?
Out the numbers 890, 188, 216, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.