GCD of 497, 187, 722, 503 Calculator

Given Input numbers are 497, 187, 722, 503

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 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 497, 187, 722, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 187, 722, 503 is 1.

Therefore, GCD of numbers 497, 187, 722, 503 is 1

Given Input Data is 497, 187, 722, 503

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 187 is 11 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 503 is 503

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, 187) = 92939

GCD(497, 187) = ( 497 x 187 ) / 92939

GCD(497, 187) = 92939 / 92939

GCD(497, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 497, 187, 722, 503 is 1

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1. What is the GCD of 497, 187, 722, 503?

GCD of 497, 187, 722, 503 is 1

2. Where do I get the detailed procedure to find GCD of 497, 187, 722, 503?

You can find a detailed procedure to find GCD of 497, 187, 722, 503 on our page.

3. How to find GCD of 497, 187, 722, 503 on a calculator?

You can find the GCD of 497, 187, 722, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.