Online GCD Calculator is useful to find the GCD of 408, 120, 890 quickly. Get the easiest ways to solve the greatest common divisor of 408, 120, 890 i.e 2 in different methods as follows.
Given Input numbers are 408, 120, 890
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
GCD of numbers is the greatest common divisor
So, the GCD (408, 120, 890) = 2.
Given numbers are 408, 120, 890
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 890 are 2 x 5 x 89
The highest common occurrence is 21
Therefore, GCD of 408, 120, 890 is 2.
Given numbers are 408, 120, 890
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 120) = 2040
GCD(408, 120) = ( 408 x 120 ) / 2040
= 408 / 120
= 408
Step2:
LCM(24, 890) = 10680
GCD(24, 890) = ( 24 x 890 ) / 10680
= 24 / 890
= 24
So, Greatest Common Divisor of 408, 120, 890 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 120, 890
The greatest common divisor of numbers 408, 120, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 120, 890 is 2.
1. What is the GCD of 408, 120, 890?
GCD of given numbers 408, 120, 890 is 2
2. How to calculate the greatest common divisor of 408, 120, 890?
We can find the highest common divisor of 408, 120, 890 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 408, 120, 890 i.e 2.
3. How can I use the GCD of 408, 120, 890Calculator?
Out the numbers 408, 120, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.