GCD of 776, 344, 687, 431 Calculator

Given Input numbers are 776, 344, 687, 431

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 776, 344, 687, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 344, 687, 431 is 1.

Therefore, GCD of numbers 776, 344, 687, 431 is 1

Given Input Data is 776, 344, 687, 431

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 687 is 3 x 229

Prime Factorization of 431 is 431

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(776, 344) = 33368

GCD(776, 344) = ( 776 x 344 ) / 33368

GCD(776, 344) = 266944 / 33368

GCD(776, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 687

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

LCM(8, 687) = 5496

GCD(8, 687) = ( 8 x 687 ) / 5496

GCD(8, 687) = 5496 / 5496

GCD(8, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 776, 344, 687, 431 is 1

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1. What is the GCD of 776, 344, 687, 431?

GCD of 776, 344, 687, 431 is 1

2. Where do I get the detailed procedure to find GCD of 776, 344, 687, 431?

You can find a detailed procedure to find GCD of 776, 344, 687, 431 on our page.

3. How to find GCD of 776, 344, 687, 431 on a calculator?

You can find the GCD of 776, 344, 687, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.