GCD of 691, 509, 497, 265 Calculator

Given Input numbers are 691, 509, 497, 265

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

Divisors of 691

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

1, 691

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 497

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

1, 7, 71, 497

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 691, 509, 497, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 509, 497, 265 is 1.

Therefore, GCD of numbers 691, 509, 497, 265 is 1

Given Input Data is 691, 509, 497, 265

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

Prime Factorization of 691 is 691

Prime Factorization of 509 is 509

Prime Factorization of 497 is 7 x 71

Prime Factorization of 265 is 5 x 53

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(691, 509) = 351719

GCD(691, 509) = ( 691 x 509 ) / 351719

GCD(691, 509) = 351719 / 351719

GCD(691, 509) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 691, 509, 497, 265 is 1

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1. What is the GCD of 691, 509, 497, 265?

GCD of 691, 509, 497, 265 is 1

2. Where do I get the detailed procedure to find GCD of 691, 509, 497, 265?

You can find a detailed procedure to find GCD of 691, 509, 497, 265 on our page.

3. How to find GCD of 691, 509, 497, 265 on a calculator?

You can find the GCD of 691, 509, 497, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.