GCD of 803, 738, 92, 829 Calculator

Given Input numbers are 803, 738, 92, 829

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 803, 738, 92, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 738, 92, 829 is 1.

Therefore, GCD of numbers 803, 738, 92, 829 is 1

Given Input Data is 803, 738, 92, 829

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 829 is 829

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(803, 738) = 592614

GCD(803, 738) = ( 803 x 738 ) / 592614

GCD(803, 738) = 592614 / 592614

GCD(803, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 92

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

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

GCD(1, 92) = 92 / 92

GCD(1, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 803, 738, 92, 829 is 1

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1. What is the GCD of 803, 738, 92, 829?

GCD of 803, 738, 92, 829 is 1

2. Where do I get the detailed procedure to find GCD of 803, 738, 92, 829?

You can find a detailed procedure to find GCD of 803, 738, 92, 829 on our page.

3. How to find GCD of 803, 738, 92, 829 on a calculator?

You can find the GCD of 803, 738, 92, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.