GCD of 500, 366, 492, 652 Calculator

Given Input numbers are 500, 366, 492, 652

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (500, 366, 492, 652) = 2.

Given numbers are 500, 366, 492, 652

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 366 are 2 x 3 x 61

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 500, 366, 492, 652 is 2.

Given numbers are 500, 366, 492, 652

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

Apply this formula for all numbers.

Step1:

LCM(500, 366) = 91500

GCD(500, 366) = ( 500 x 366 ) / 91500

= 500 / 366

= 500

Step2:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 500, 366, 492, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 493, 861, 742
• GCD of 123, 860, 912, 292
• GCD of 160, 547, 111, 445
• GCD of 950, 726, 548, 228
• GCD of 764, 720, 667, 278

Given numbers are 500, 366, 492, 652
The greatest common divisor of numbers 500, 366, 492, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 366, 492, 652 is 2.

1. What is the GCD of 500, 366, 492, 652?

GCD of given numbers 500, 366, 492, 652 is 2

2. How to calculate the greatest common divisor of 500, 366, 492, 652?

We can find the highest common divisor of 500, 366, 492, 652 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, 366, 492, 652 i.e 2.

3. How can I use the GCD of 500, 366, 492, 652Calculator?

Out the numbers 500, 366, 492, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.