Online GCD Calculator is useful to find the GCD of 290, 360, 576 quickly. Get the easiest ways to solve the greatest common divisor of 290, 360, 576 i.e 2 in different methods as follows.
Given Input numbers are 290, 360, 576
In the factoring method, we have to find the divisors of all numbers
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (290, 360, 576) = 2.
Given numbers are 290, 360, 576
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 290, 360, 576 is 2.
Given numbers are 290, 360, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 360) = 10440
GCD(290, 360) = ( 290 x 360 ) / 10440
= 290 / 360
= 290
Step2:
LCM(10, 576) = 2880
GCD(10, 576) = ( 10 x 576 ) / 2880
= 10 / 576
= 10
So, Greatest Common Divisor of 290, 360, 576 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 360, 576
The greatest common divisor of numbers 290, 360, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 360, 576 is 2.
1. What is the GCD of 290, 360, 576?
GCD of given numbers 290, 360, 576 is 2
2. How to calculate the greatest common divisor of 290, 360, 576?
We can find the highest common divisor of 290, 360, 576 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 290, 360, 576 i.e 2.
3. How can I use the GCD of 290, 360, 576Calculator?
Out the numbers 290, 360, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.