GCD of 392, 266, 533, 559 Calculator

Given Input numbers are 392, 266, 533, 559

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 392, 266, 533, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 266, 533, 559 is 1.

Therefore, GCD of numbers 392, 266, 533, 559 is 1

Given Input Data is 392, 266, 533, 559

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 533 is 13 x 41

Prime Factorization of 559 is 13 x 43

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(392, 266) = 7448

GCD(392, 266) = ( 392 x 266 ) / 7448

GCD(392, 266) = 104272 / 7448

GCD(392, 266) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 533

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

LCM(14, 533) = 7462

GCD(14, 533) = ( 14 x 533 ) / 7462

GCD(14, 533) = 7462 / 7462

GCD(14, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 392, 266, 533, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 697, 804, 238
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• GCD of 911, 330, 833, 608
• GCD of 414, 170, 434, 916
• GCD of 771, 464, 299, 651

1. What is the GCD of 392, 266, 533, 559?

GCD of 392, 266, 533, 559 is 1

2. Where do I get the detailed procedure to find GCD of 392, 266, 533, 559?

You can find a detailed procedure to find GCD of 392, 266, 533, 559 on our page.

3. How to find GCD of 392, 266, 533, 559 on a calculator?

You can find the GCD of 392, 266, 533, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.