GCD of 500, 392, 338, 322 Calculator

Given Input numbers are 500, 392, 338, 322

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (500, 392, 338, 322) = 2.

Given numbers are 500, 392, 338, 322

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 338 are 2 x 13 x 13

Prime factors of 322 are 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 500, 392, 338, 322 is 2.

Given numbers are 500, 392, 338, 322

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

Apply this formula for all numbers.

Step1:

LCM(500, 392) = 49000

GCD(500, 392) = ( 500 x 392 ) / 49000

= 500 / 392

= 500

Step2:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4

Step3:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

So, Greatest Common Divisor of 500, 392, 338, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 247, 425, 470
• GCD of 237, 117, 577, 233
• GCD of 882, 353, 824, 453
• GCD of 649, 770, 467, 995
• GCD of 170, 322, 321, 410

Given numbers are 500, 392, 338, 322
The greatest common divisor of numbers 500, 392, 338, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 392, 338, 322 is 2.

1. What is the GCD of 500, 392, 338, 322?

GCD of given numbers 500, 392, 338, 322 is 2

2. How to calculate the greatest common divisor of 500, 392, 338, 322?

We can find the highest common divisor of 500, 392, 338, 322 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, 392, 338, 322 i.e 2.

3. How can I use the GCD of 500, 392, 338, 322Calculator?

Out the numbers 500, 392, 338, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.