GCD of 121, 656, 259, 349 Calculator

Given Input numbers are 121, 656, 259, 349

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 121, 656, 259, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 656, 259, 349 is 1.

Therefore, GCD of numbers 121, 656, 259, 349 is 1

Given Input Data is 121, 656, 259, 349

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 259 is 7 x 37

Prime Factorization of 349 is 349

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(121, 656) = 79376

GCD(121, 656) = ( 121 x 656 ) / 79376

GCD(121, 656) = 79376 / 79376

GCD(121, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 121, 656, 259, 349 is 1

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• GCD of 390, 409, 229, 165
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1. What is the GCD of 121, 656, 259, 349?

GCD of 121, 656, 259, 349 is 1

2. Where do I get the detailed procedure to find GCD of 121, 656, 259, 349?

You can find a detailed procedure to find GCD of 121, 656, 259, 349 on our page.

3. How to find GCD of 121, 656, 259, 349 on a calculator?

You can find the GCD of 121, 656, 259, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.