GCD of 40, 221, 691, 509 Calculator

Given Input numbers are 40, 221, 691, 509

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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

Greatest Common Divisior

We found the divisors of 40, 221, 691, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 221, 691, 509 is 1.

Therefore, GCD of numbers 40, 221, 691, 509 is 1

Given Input Data is 40, 221, 691, 509

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 221 is 13 x 17

Prime Factorization of 691 is 691

Prime Factorization of 509 is 509

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(40, 221) = 8840

GCD(40, 221) = ( 40 x 221 ) / 8840

GCD(40, 221) = 8840 / 8840

GCD(40, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 40, 221, 691, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 227, 614, 186
• GCD of 66, 742, 452, 529
• GCD of 94, 867, 370, 577
• GCD of 48, 324, 823, 994
• GCD of 99, 188, 500, 653

1. What is the GCD of 40, 221, 691, 509?

GCD of 40, 221, 691, 509 is 1

2. Where do I get the detailed procedure to find GCD of 40, 221, 691, 509?

You can find a detailed procedure to find GCD of 40, 221, 691, 509 on our page.

3. How to find GCD of 40, 221, 691, 509 on a calculator?

You can find the GCD of 40, 221, 691, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.