Online GCD Calculator is useful to find the GCD of 500, 918, 940, 588 quickly. Get the easiest ways to solve the greatest common divisor of 500, 918, 940, 588 i.e 2 in different methods as follows.
Given Input numbers are 500, 918, 940, 588
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 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (500, 918, 940, 588) = 2.
Given numbers are 500, 918, 940, 588
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 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 500, 918, 940, 588 is 2.
Given numbers are 500, 918, 940, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 918) = 229500
GCD(500, 918) = ( 500 x 918 ) / 229500
= 500 / 918
= 500
Step2:
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
= 2 / 940
= 2
Step3:
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
= 2 / 588
= 2
So, Greatest Common Divisor of 500, 918, 940, 588 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 918, 940, 588
The greatest common divisor of numbers 500, 918, 940, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 918, 940, 588 is 2.
1. What is the GCD of 500, 918, 940, 588?
GCD of given numbers 500, 918, 940, 588 is 2
2. How to calculate the greatest common divisor of 500, 918, 940, 588?
We can find the highest common divisor of 500, 918, 940, 588 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, 918, 940, 588 i.e 2.
3. How can I use the GCD of 500, 918, 940, 588Calculator?
Out the numbers 500, 918, 940, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.