GCD of 497, 691, 557, 591 Calculator

Given Input numbers are 497, 691, 557, 591

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 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 497, 691, 557, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 691, 557, 591 is 1.

Therefore, GCD of numbers 497, 691, 557, 591 is 1

Given Input Data is 497, 691, 557, 591

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 691 is 691

Prime Factorization of 557 is 557

Prime Factorization of 591 is 3 x 197

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, 691) = 343427

GCD(497, 691) = ( 497 x 691 ) / 343427

GCD(497, 691) = 343427 / 343427

GCD(497, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 497, 691, 557, 591 is 1

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1. What is the GCD of 497, 691, 557, 591?

GCD of 497, 691, 557, 591 is 1

2. Where do I get the detailed procedure to find GCD of 497, 691, 557, 591?

You can find a detailed procedure to find GCD of 497, 691, 557, 591 on our page.

3. How to find GCD of 497, 691, 557, 591 on a calculator?

You can find the GCD of 497, 691, 557, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.