GCD of 500, 764, 516, 650 Calculator

Given Input numbers are 500, 764, 516, 650

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (500, 764, 516, 650) = 2.

Given numbers are 500, 764, 516, 650

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 764 are 2 x 2 x 191

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 500, 764, 516, 650 is 2.

Given numbers are 500, 764, 516, 650

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(500, 764) = 95500

GCD(500, 764) = ( 500 x 764 ) / 95500

= 500 / 764

= 500

Step2:

LCM(4, 516) = 516

GCD(4, 516) = ( 4 x 516 ) / 516

= 4 / 516

= 4

Step3:

LCM(4, 650) = 1300

GCD(4, 650) = ( 4 x 650 ) / 1300

= 4 / 650

= 4

So, Greatest Common Divisor of 500, 764, 516, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 163, 109, 135
• GCD of 100, 580, 348, 832
• GCD of 822, 392, 205, 879
• GCD of 722, 137, 826, 944
• GCD of 681, 330, 305, 386

Given numbers are 500, 764, 516, 650
The greatest common divisor of numbers 500, 764, 516, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 764, 516, 650 is 2.

1. What is the GCD of 500, 764, 516, 650?

GCD of given numbers 500, 764, 516, 650 is 2

2. How to calculate the greatest common divisor of 500, 764, 516, 650?

We can find the highest common divisor of 500, 764, 516, 650 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, 764, 516, 650 i.e 2.

3. How can I use the GCD of 500, 764, 516, 650Calculator?

Out the numbers 500, 764, 516, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.