GCD of 500, 208, 423, 966 Calculator

Given Input numbers are 500, 208, 423, 966

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

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

GCD of numbers is the greatest common divisor

So, the GCD (500, 208, 423, 966) = 1.

Given numbers are 500, 208, 423, 966

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 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 423 are 3 x 3 x 47

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 500, 208, 423, 966

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

Apply this formula for all numbers.

Step1:

LCM(500, 208) = 26000

GCD(500, 208) = ( 500 x 208 ) / 26000

= 500 / 208

= 500

Step2:

LCM(4, 423) = 1692

GCD(4, 423) = ( 4 x 423 ) / 1692

= 4 / 423

= 4

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 500, 208, 423, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 727, 292, 668
• GCD of 383, 399, 555, 715
• GCD of 807, 532, 281, 345
• GCD of 989, 502, 895, 407
• GCD of 423, 481, 551, 651

Given numbers are 500, 208, 423, 966
The greatest common divisor of numbers 500, 208, 423, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 208, 423, 966 is 1.

1. What is the GCD of 500, 208, 423, 966?

GCD of given numbers 500, 208, 423, 966 is 1

2. How to calculate the greatest common divisor of 500, 208, 423, 966?

We can find the highest common divisor of 500, 208, 423, 966 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, 208, 423, 966 i.e 1.

3. How can I use the GCD of 500, 208, 423, 966Calculator?

Out the numbers 500, 208, 423, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.