GCD of 682, 572, 505, 431 Calculator

Given Input numbers are 682, 572, 505, 431

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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 682, 572, 505, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 572, 505, 431 is 1.

Therefore, GCD of numbers 682, 572, 505, 431 is 1

Given Input Data is 682, 572, 505, 431

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 505 is 5 x 101

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(682, 572) = 17732

GCD(682, 572) = ( 682 x 572 ) / 17732

GCD(682, 572) = 390104 / 17732

GCD(682, 572) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 505

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

LCM(22, 505) = 11110

GCD(22, 505) = ( 22 x 505 ) / 11110

GCD(22, 505) = 11110 / 11110

GCD(22, 505) = 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 682, 572, 505, 431 is 1

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1. What is the GCD of 682, 572, 505, 431?

GCD of 682, 572, 505, 431 is 1

2. Where do I get the detailed procedure to find GCD of 682, 572, 505, 431?

You can find a detailed procedure to find GCD of 682, 572, 505, 431 on our page.

3. How to find GCD of 682, 572, 505, 431 on a calculator?

You can find the GCD of 682, 572, 505, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.