GCD of 351, 354, 261, 827 Calculator

Given Input numbers are 351, 354, 261, 827

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 351, 354, 261, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 354, 261, 827 is 1.

Therefore, GCD of numbers 351, 354, 261, 827 is 1

Given Input Data is 351, 354, 261, 827

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 827 is 827

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(351, 354) = 41418

GCD(351, 354) = ( 351 x 354 ) / 41418

GCD(351, 354) = 124254 / 41418

GCD(351, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 261

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

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

GCD(3, 261) = 783 / 261

GCD(3, 261) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

GCD of 351, 354, 261, 827 is 1

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• GCD of 855, 464, 558, 394
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1. What is the GCD of 351, 354, 261, 827?

GCD of 351, 354, 261, 827 is 1

2. Where do I get the detailed procedure to find GCD of 351, 354, 261, 827?

You can find a detailed procedure to find GCD of 351, 354, 261, 827 on our page.

3. How to find GCD of 351, 354, 261, 827 on a calculator?

You can find the GCD of 351, 354, 261, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.