GCD of 691, 189, 314, 497 Calculator

Given Input numbers are 691, 189, 314, 497

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 691, 189, 314, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 189, 314, 497 is 1.

Therefore, GCD of numbers 691, 189, 314, 497 is 1

Given Input Data is 691, 189, 314, 497

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

Prime Factorization of 691 is 691

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 314 is 2 x 157

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(691, 189) = 130599

GCD(691, 189) = ( 691 x 189 ) / 130599

GCD(691, 189) = 130599 / 130599

GCD(691, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 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 691, 189, 314, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 291, 400, 954
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• GCD of 606, 315, 233, 891
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• GCD of 194, 123, 483, 851

1. What is the GCD of 691, 189, 314, 497?

GCD of 691, 189, 314, 497 is 1

2. Where do I get the detailed procedure to find GCD of 691, 189, 314, 497?

You can find a detailed procedure to find GCD of 691, 189, 314, 497 on our page.

3. How to find GCD of 691, 189, 314, 497 on a calculator?

You can find the GCD of 691, 189, 314, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.