GCD of 831, 516, 355, 677 Calculator

Given Input numbers are 831, 516, 355, 677

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 831, 516, 355, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 516, 355, 677 is 1.

Therefore, GCD of numbers 831, 516, 355, 677 is 1

Given Input Data is 831, 516, 355, 677

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 355 is 5 x 71

Prime Factorization of 677 is 677

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(831, 516) = 142932

GCD(831, 516) = ( 831 x 516 ) / 142932

GCD(831, 516) = 428796 / 142932

GCD(831, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 355

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

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

GCD(3, 355) = 1065 / 1065

GCD(3, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 831, 516, 355, 677 is 1

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1. What is the GCD of 831, 516, 355, 677?

GCD of 831, 516, 355, 677 is 1

2. Where do I get the detailed procedure to find GCD of 831, 516, 355, 677?

You can find a detailed procedure to find GCD of 831, 516, 355, 677 on our page.

3. How to find GCD of 831, 516, 355, 677 on a calculator?

You can find the GCD of 831, 516, 355, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.