GCD of 769, 410, 440, 431 Calculator

Given Input numbers are 769, 410, 440, 431

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 769, 410, 440, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 410, 440, 431 is 1.

Therefore, GCD of numbers 769, 410, 440, 431 is 1

Given Input Data is 769, 410, 440, 431

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

Prime Factorization of 769 is 769

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(769, 410) = 315290

GCD(769, 410) = ( 769 x 410 ) / 315290

GCD(769, 410) = 315290 / 315290

GCD(769, 410) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 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 769, 410, 440, 431 is 1

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1. What is the GCD of 769, 410, 440, 431?

GCD of 769, 410, 440, 431 is 1

2. Where do I get the detailed procedure to find GCD of 769, 410, 440, 431?

You can find a detailed procedure to find GCD of 769, 410, 440, 431 on our page.

3. How to find GCD of 769, 410, 440, 431 on a calculator?

You can find the GCD of 769, 410, 440, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.