GCD of 497, 380, 29, 683 Calculator

Given Input numbers are 497, 380, 29, 683

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

Divisors of 497

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

1, 7, 71, 497

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 497, 380, 29, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 380, 29, 683 is 1.

Therefore, GCD of numbers 497, 380, 29, 683 is 1

Given Input Data is 497, 380, 29, 683

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 29 is 29

Prime Factorization of 683 is 683

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(497, 380) = 188860

GCD(497, 380) = ( 497 x 380 ) / 188860

GCD(497, 380) = 188860 / 188860

GCD(497, 380) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 497, 380, 29, 683 is 1

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1. What is the GCD of 497, 380, 29, 683?

GCD of 497, 380, 29, 683 is 1

2. Where do I get the detailed procedure to find GCD of 497, 380, 29, 683?

You can find a detailed procedure to find GCD of 497, 380, 29, 683 on our page.

3. How to find GCD of 497, 380, 29, 683 on a calculator?

You can find the GCD of 497, 380, 29, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.