GCD of 500, 920, 223, 321 Calculator

Given Input numbers are 500, 920, 223, 321

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (500, 920, 223, 321) = 1.

Given numbers are 500, 920, 223, 321

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 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 223 are 223

Prime factors of 321 are 3 x 107

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

Given numbers are 500, 920, 223, 321

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

Apply this formula for all numbers.

Step1:

LCM(500, 920) = 23000

GCD(500, 920) = ( 500 x 920 ) / 23000

= 500 / 920

= 500

Step2:

LCM(20, 223) = 4460

GCD(20, 223) = ( 20 x 223 ) / 4460

= 20 / 223

= 20

Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

So, Greatest Common Divisor of 500, 920, 223, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 429, 930, 244
• GCD of 321, 686, 491, 625
• GCD of 754, 483, 337, 143
• GCD of 179, 701, 414, 817
• GCD of 184, 511, 892, 461

Given numbers are 500, 920, 223, 321
The greatest common divisor of numbers 500, 920, 223, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 920, 223, 321 is 1.

1. What is the GCD of 500, 920, 223, 321?

GCD of given numbers 500, 920, 223, 321 is 1

2. How to calculate the greatest common divisor of 500, 920, 223, 321?

We can find the highest common divisor of 500, 920, 223, 321 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, 920, 223, 321 i.e 1.

3. How can I use the GCD of 500, 920, 223, 321Calculator?

Out the numbers 500, 920, 223, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.