Online GCD Calculator is useful to find the GCD of 580, 890, 370, 344 quickly. Get the easiest ways to solve the greatest common divisor of 580, 890, 370, 344 i.e 2 in different methods as follows.
Given Input numbers are 580, 890, 370, 344
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (580, 890, 370, 344) = 2.
Given numbers are 580, 890, 370, 344
The list of prime factors of all numbers are
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 890 are 2 x 5 x 89
Prime factors of 370 are 2 x 5 x 37
Prime factors of 344 are 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 580, 890, 370, 344 is 2.
Given numbers are 580, 890, 370, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(580, 890) = 51620
GCD(580, 890) = ( 580 x 890 ) / 51620
= 580 / 890
= 580
Step2:
LCM(10, 370) = 370
GCD(10, 370) = ( 10 x 370 ) / 370
= 10 / 370
= 10
Step3:
LCM(10, 344) = 1720
GCD(10, 344) = ( 10 x 344 ) / 1720
= 10 / 344
= 10
So, Greatest Common Divisor of 580, 890, 370, 344 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 580, 890, 370, 344
The greatest common divisor of numbers 580, 890, 370, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 890, 370, 344 is 2.
1. What is the GCD of 580, 890, 370, 344?
GCD of given numbers 580, 890, 370, 344 is 2
2. How to calculate the greatest common divisor of 580, 890, 370, 344?
We can find the highest common divisor of 580, 890, 370, 344 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 580, 890, 370, 344 i.e 2.
3. How can I use the GCD of 580, 890, 370, 344Calculator?
Out the numbers 580, 890, 370, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.