GCD of 533, 766, 14, 292 Calculator

Given Input numbers are 533, 766, 14, 292

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

Divisors of 533

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

1, 13, 41, 533

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 533, 766, 14, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 766, 14, 292 is 1.

Therefore, GCD of numbers 533, 766, 14, 292 is 1

Given Input Data is 533, 766, 14, 292

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 766 is 2 x 383

Prime Factorization of 14 is 2 x 7

Prime Factorization of 292 is 2 x 2 x 73

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(533, 766) = 408278

GCD(533, 766) = ( 533 x 766 ) / 408278

GCD(533, 766) = 408278 / 408278

GCD(533, 766) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 533, 766, 14, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 799, 79, 473
• GCD of 451, 905, 37, 978
• GCD of 940, 735, 46, 753
• GCD of 561, 688, 23, 955
• GCD of 233, 557, 54, 755

1. What is the GCD of 533, 766, 14, 292?

GCD of 533, 766, 14, 292 is 1

2. Where do I get the detailed procedure to find GCD of 533, 766, 14, 292?

You can find a detailed procedure to find GCD of 533, 766, 14, 292 on our page.

3. How to find GCD of 533, 766, 14, 292 on a calculator?

You can find the GCD of 533, 766, 14, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.