GCD of 827, 430, 351, 771 Calculator

Given Input numbers are 827, 430, 351, 771

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

Divisors of 827

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

1, 827

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 827, 430, 351, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 430, 351, 771 is 1.

Therefore, GCD of numbers 827, 430, 351, 771 is 1

Given Input Data is 827, 430, 351, 771

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

Prime Factorization of 827 is 827

Prime Factorization of 430 is 2 x 5 x 43

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

Prime Factorization of 771 is 3 x 257

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(827, 430) = 355610

GCD(827, 430) = ( 827 x 430 ) / 355610

GCD(827, 430) = 355610 / 355610

GCD(827, 430) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 827, 430, 351, 771 is 1

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1. What is the GCD of 827, 430, 351, 771?

GCD of 827, 430, 351, 771 is 1

2. Where do I get the detailed procedure to find GCD of 827, 430, 351, 771?

You can find a detailed procedure to find GCD of 827, 430, 351, 771 on our page.

3. How to find GCD of 827, 430, 351, 771 on a calculator?

You can find the GCD of 827, 430, 351, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.