GCD of 691, 435, 990, 438 Calculator

Given Input numbers are 691, 435, 990, 438

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 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 691, 435, 990, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 435, 990, 438 is 1.

Therefore, GCD of numbers 691, 435, 990, 438 is 1

Given Input Data is 691, 435, 990, 438

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

Prime Factorization of 691 is 691

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 438 is 2 x 3 x 73

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, 435) = 300585

GCD(691, 435) = ( 691 x 435 ) / 300585

GCD(691, 435) = 300585 / 300585

GCD(691, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 691, 435, 990, 438 is 1

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1. What is the GCD of 691, 435, 990, 438?

GCD of 691, 435, 990, 438 is 1

2. Where do I get the detailed procedure to find GCD of 691, 435, 990, 438?

You can find a detailed procedure to find GCD of 691, 435, 990, 438 on our page.

3. How to find GCD of 691, 435, 990, 438 on a calculator?

You can find the GCD of 691, 435, 990, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.