Online GCD Calculator is useful to find the GCD of 888, 240, 220, 408 quickly. Get the easiest ways to solve the greatest common divisor of 888, 240, 220, 408 i.e 4 in different methods as follows.
Given Input numbers are 888, 240, 220, 408
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 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (888, 240, 220, 408) = 4.
Given numbers are 888, 240, 220, 408
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 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 22
Therefore, GCD of 888, 240, 220, 408 is 4.
Given numbers are 888, 240, 220, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(888, 240) = 8880
GCD(888, 240) = ( 888 x 240 ) / 8880
= 888 / 240
= 888
Step2:
LCM(24, 220) = 1320
GCD(24, 220) = ( 24 x 220 ) / 1320
= 24 / 220
= 24
Step3:
LCM(4, 408) = 408
GCD(4, 408) = ( 4 x 408 ) / 408
= 4 / 408
= 4
So, Greatest Common Divisor of 888, 240, 220, 408 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 888, 240, 220, 408
The greatest common divisor of numbers 888, 240, 220, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 240, 220, 408 is 4.
1. What is the GCD of 888, 240, 220, 408?
GCD of given numbers 888, 240, 220, 408 is 4
2. How to calculate the greatest common divisor of 888, 240, 220, 408?
We can find the highest common divisor of 888, 240, 220, 408 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, 240, 220, 408 i.e 4.
3. How can I use the GCD of 888, 240, 220, 408Calculator?
Out the numbers 888, 240, 220, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.