GCD of 270, 434, 361, 691 Calculator

Given Input numbers are 270, 434, 361, 691

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 691

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

1, 691

Greatest Common Divisior

We found the divisors of 270, 434, 361, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 434, 361, 691 is 1.

Therefore, GCD of numbers 270, 434, 361, 691 is 1

Given Input Data is 270, 434, 361, 691

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 361 is 19 x 19

Prime Factorization of 691 is 691

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(270, 434) = 58590

GCD(270, 434) = ( 270 x 434 ) / 58590

GCD(270, 434) = 117180 / 58590

GCD(270, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

Step3:

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

GCD of 270, 434, 361, 691 is 1

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1. What is the GCD of 270, 434, 361, 691?

GCD of 270, 434, 361, 691 is 1

2. Where do I get the detailed procedure to find GCD of 270, 434, 361, 691?

You can find a detailed procedure to find GCD of 270, 434, 361, 691 on our page.

3. How to find GCD of 270, 434, 361, 691 on a calculator?

You can find the GCD of 270, 434, 361, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.