GCD of 268, 966, 582, 500 Calculator

Given Input numbers are 268, 966, 582, 500

In the factoring method, we have to find the divisors of all numbers

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

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

GCD of numbers is the greatest common divisor

So, the GCD (268, 966, 582, 500) = 2.

Given numbers are 268, 966, 582, 500

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 582 are 2 x 3 x 97

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 268, 966, 582, 500 is 2.

Given numbers are 268, 966, 582, 500

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

Apply this formula for all numbers.

Step1:

LCM(268, 966) = 129444

GCD(268, 966) = ( 268 x 966 ) / 129444

= 268 / 966

= 268

Step2:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 268, 966, 582, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 596, 444, 603
• GCD of 162, 166, 434, 165
• GCD of 888, 752, 950, 492
• GCD of 548, 306, 279, 535
• GCD of 413, 488, 394, 753

Given numbers are 268, 966, 582, 500
The greatest common divisor of numbers 268, 966, 582, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 966, 582, 500 is 2.

1. What is the GCD of 268, 966, 582, 500?

GCD of given numbers 268, 966, 582, 500 is 2

2. How to calculate the greatest common divisor of 268, 966, 582, 500?

We can find the highest common divisor of 268, 966, 582, 500 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 268, 966, 582, 500 i.e 2.

3. How can I use the GCD of 268, 966, 582, 500Calculator?

Out the numbers 268, 966, 582, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.