Online GCD Calculator is useful to find the GCD of 500, 306, 260, 200 quickly. Get the easiest ways to solve the greatest common divisor of 500, 306, 260, 200 i.e 2 in different methods as follows.
Given Input numbers are 500, 306, 260, 200
In the factoring method, we have to find the divisors of all numbers
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 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (500, 306, 260, 200) = 2.
Given numbers are 500, 306, 260, 200
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 500, 306, 260, 200 is 2.
Given numbers are 500, 306, 260, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 306) = 76500
GCD(500, 306) = ( 500 x 306 ) / 76500
= 500 / 306
= 500
Step2:
LCM(2, 260) = 260
GCD(2, 260) = ( 2 x 260 ) / 260
= 2 / 260
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 500, 306, 260, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 306, 260, 200
The greatest common divisor of numbers 500, 306, 260, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 306, 260, 200 is 2.
1. What is the GCD of 500, 306, 260, 200?
GCD of given numbers 500, 306, 260, 200 is 2
2. How to calculate the greatest common divisor of 500, 306, 260, 200?
We can find the highest common divisor of 500, 306, 260, 200 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 500, 306, 260, 200 i.e 2.
3. How can I use the GCD of 500, 306, 260, 200Calculator?
Out the numbers 500, 306, 260, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.