Online GCD Calculator is useful to find the GCD of 888, 820, 350, 288 quickly. Get the easiest ways to solve the greatest common divisor of 888, 820, 350, 288 i.e 2 in different methods as follows.
Given Input numbers are 888, 820, 350, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (888, 820, 350, 288) = 2.
Given numbers are 888, 820, 350, 288
The list of prime factors of all numbers are
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 888, 820, 350, 288 is 2.
Given numbers are 888, 820, 350, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(888, 820) = 182040
GCD(888, 820) = ( 888 x 820 ) / 182040
= 888 / 820
= 888
Step2:
LCM(4, 350) = 700
GCD(4, 350) = ( 4 x 350 ) / 700
= 4 / 350
= 4
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 888, 820, 350, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 888, 820, 350, 288
The greatest common divisor of numbers 888, 820, 350, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 820, 350, 288 is 2.
1. What is the GCD of 888, 820, 350, 288?
GCD of given numbers 888, 820, 350, 288 is 2
2. How to calculate the greatest common divisor of 888, 820, 350, 288?
We can find the highest common divisor of 888, 820, 350, 288 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 888, 820, 350, 288 i.e 2.
3. How can I use the GCD of 888, 820, 350, 288Calculator?
Out the numbers 888, 820, 350, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.