Online GCD Calculator is useful to find the GCD of 580, 500, 604, 134 quickly. Get the easiest ways to solve the greatest common divisor of 580, 500, 604, 134 i.e 2 in different methods as follows.
Given Input numbers are 580, 500, 604, 134
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
GCD of numbers is the greatest common divisor
So, the GCD (580, 500, 604, 134) = 2.
Given numbers are 580, 500, 604, 134
The list of prime factors of all numbers are
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 604 are 2 x 2 x 151
Prime factors of 134 are 2 x 67
The highest common occurrence is 21
Therefore, GCD of 580, 500, 604, 134 is 2.
Given numbers are 580, 500, 604, 134
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(580, 500) = 14500
GCD(580, 500) = ( 580 x 500 ) / 14500
= 580 / 500
= 580
Step2:
LCM(20, 604) = 3020
GCD(20, 604) = ( 20 x 604 ) / 3020
= 20 / 604
= 20
Step3:
LCM(4, 134) = 268
GCD(4, 134) = ( 4 x 134 ) / 268
= 4 / 134
= 4
So, Greatest Common Divisor of 580, 500, 604, 134 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 580, 500, 604, 134
The greatest common divisor of numbers 580, 500, 604, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 500, 604, 134 is 2.
1. What is the GCD of 580, 500, 604, 134?
GCD of given numbers 580, 500, 604, 134 is 2
2. How to calculate the greatest common divisor of 580, 500, 604, 134?
We can find the highest common divisor of 580, 500, 604, 134 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, 500, 604, 134 i.e 2.
3. How can I use the GCD of 580, 500, 604, 134Calculator?
Out the numbers 580, 500, 604, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.