Online GCD Calculator is useful to find the GCD of 800, 880, 216, 212 quickly. Get the easiest ways to solve the greatest common divisor of 800, 880, 216, 212 i.e 4 in different methods as follows.
Given Input numbers are 800, 880, 216, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
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 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 (800, 880, 216, 212) = 4.
Given numbers are 800, 880, 216, 212
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 22
Therefore, GCD of 800, 880, 216, 212 is 4.
Given numbers are 800, 880, 216, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 880) = 8800
GCD(800, 880) = ( 800 x 880 ) / 8800
= 800 / 880
= 800
Step2:
LCM(80, 216) = 2160
GCD(80, 216) = ( 80 x 216 ) / 2160
= 80 / 216
= 80
Step3:
LCM(8, 212) = 424
GCD(8, 212) = ( 8 x 212 ) / 424
= 8 / 212
= 8
So, Greatest Common Divisor of 800, 880, 216, 212 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 880, 216, 212
The greatest common divisor of numbers 800, 880, 216, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 880, 216, 212 is 4.
1. What is the GCD of 800, 880, 216, 212?
GCD of given numbers 800, 880, 216, 212 is 4
2. How to calculate the greatest common divisor of 800, 880, 216, 212?
We can find the highest common divisor of 800, 880, 216, 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 800, 880, 216, 212 i.e 4.
3. How can I use the GCD of 800, 880, 216, 212Calculator?
Out the numbers 800, 880, 216, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.