GCD of 343, 270, 11 Calculator

Given Input numbers are 343, 270, 11

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Greatest Common Divisior

We found the divisors of 343, 270, 11 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 270, 11 is 1.

Therefore, GCD of numbers 343, 270, 11 is 1

Given Input Data is 343, 270, 11

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

Prime Factorization of 343 is 7 x 7 x 7

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

Prime Factorization of 11 is 11

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(343, 270) = 92610

GCD(343, 270) = ( 343 x 270 ) / 92610

GCD(343, 270) = 92610 / 92610

GCD(343, 270) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

GCD of 343, 270, 11 is 1

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• GCD of 639, 896, 78
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1. What is the GCD of 343, 270, 11?

GCD of 343, 270, 11 is 1

2. Where do I get the detailed procedure to find GCD of 343, 270, 11?

You can find a detailed procedure to find GCD of 343, 270, 11 on our page.

3. How to find GCD of 343, 270, 11 on a calculator?

You can find the GCD of 343, 270, 11 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.