GCD of 400, 620, 104, 323 Calculator

Given Input numbers are 400, 620, 104, 323

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 400, 620, 104, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 620, 104, 323 is 1.

Therefore, GCD of numbers 400, 620, 104, 323 is 1

Given Input Data is 400, 620, 104, 323

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 323 is 17 x 19

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(400, 620) = 12400

GCD(400, 620) = ( 400 x 620 ) / 12400

GCD(400, 620) = 248000 / 12400

GCD(400, 620) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 104

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

LCM(20, 104) = 520

GCD(20, 104) = ( 20 x 104 ) / 520

GCD(20, 104) = 2080 / 520

GCD(20, 104) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 323

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

LCM(4, 323) = 1292

GCD(4, 323) = ( 4 x 323 ) / 1292

GCD(4, 323) = 1292 / 1292

GCD(4, 323) = 1

GCD of 400, 620, 104, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 329, 761, 398
• GCD of 124, 244, 551, 338
• GCD of 923, 349, 467, 572
• GCD of 857, 513, 705, 745
• GCD of 994, 377, 130, 154

1. What is the GCD of 400, 620, 104, 323?

GCD of 400, 620, 104, 323 is 1

2. Where do I get the detailed procedure to find GCD of 400, 620, 104, 323?

You can find a detailed procedure to find GCD of 400, 620, 104, 323 on our page.

3. How to find GCD of 400, 620, 104, 323 on a calculator?

You can find the GCD of 400, 620, 104, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.