GCD of 832, 803, 920, 497 Calculator

Given Input numbers are 832, 803, 920, 497

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 803

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

1, 11, 73, 803

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 832, 803, 920, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 803, 920, 497 is 1.

Therefore, GCD of numbers 832, 803, 920, 497 is 1

Given Input Data is 832, 803, 920, 497

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 803 is 11 x 73

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 497 is 7 x 71

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(832, 803) = 668096

GCD(832, 803) = ( 832 x 803 ) / 668096

GCD(832, 803) = 668096 / 668096

GCD(832, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 832, 803, 920, 497 is 1

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1. What is the GCD of 832, 803, 920, 497?

GCD of 832, 803, 920, 497 is 1

2. Where do I get the detailed procedure to find GCD of 832, 803, 920, 497?

You can find a detailed procedure to find GCD of 832, 803, 920, 497 on our page.

3. How to find GCD of 832, 803, 920, 497 on a calculator?

You can find the GCD of 832, 803, 920, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.