GCD of 323, 778, 840, 538 Calculator

Given Input numbers are 323, 778, 840, 538

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

Divisors of 323

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

1, 17, 19, 323

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 323, 778, 840, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 778, 840, 538 is 1.

Therefore, GCD of numbers 323, 778, 840, 538 is 1

Given Input Data is 323, 778, 840, 538

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 778 is 2 x 389

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 538 is 2 x 269

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(323, 778) = 251294

GCD(323, 778) = ( 323 x 778 ) / 251294

GCD(323, 778) = 251294 / 251294

GCD(323, 778) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 323, 778, 840, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 467, 192, 851
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• GCD of 679, 767, 627, 554
• GCD of 437, 925, 462, 891

1. What is the GCD of 323, 778, 840, 538?

GCD of 323, 778, 840, 538 is 1

2. Where do I get the detailed procedure to find GCD of 323, 778, 840, 538?

You can find a detailed procedure to find GCD of 323, 778, 840, 538 on our page.

3. How to find GCD of 323, 778, 840, 538 on a calculator?

You can find the GCD of 323, 778, 840, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.