Online GCD Calculator is useful to find the GCD of 404, 272, 580 quickly. Get the easiest ways to solve the greatest common divisor of 404, 272, 580 i.e 4 in different methods as follows.
Given Input numbers are 404, 272, 580
In the factoring method, we have to find the divisors of all numbers
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD of numbers is the greatest common divisor
So, the GCD (404, 272, 580) = 4.
Given numbers are 404, 272, 580
The list of prime factors of all numbers are
Prime factors of 404 are 2 x 2 x 101
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 22
Therefore, GCD of 404, 272, 580 is 4.
Given numbers are 404, 272, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(404, 272) = 27472
GCD(404, 272) = ( 404 x 272 ) / 27472
= 404 / 272
= 404
Step2:
LCM(4, 580) = 580
GCD(4, 580) = ( 4 x 580 ) / 580
= 4 / 580
= 4
So, Greatest Common Divisor of 404, 272, 580 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 404, 272, 580
The greatest common divisor of numbers 404, 272, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 272, 580 is 4.
1. What is the GCD of 404, 272, 580?
GCD of given numbers 404, 272, 580 is 4
2. How to calculate the greatest common divisor of 404, 272, 580?
We can find the highest common divisor of 404, 272, 580 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 404, 272, 580 i.e 4.
3. How can I use the GCD of 404, 272, 580Calculator?
Out the numbers 404, 272, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.