GCD of 57, 473, 697, 766 Calculator

Given Input numbers are 57, 473, 697, 766

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 57, 473, 697, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 473, 697, 766 is 1.

Therefore, GCD of numbers 57, 473, 697, 766 is 1

Given Input Data is 57, 473, 697, 766

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 473 is 11 x 43

Prime Factorization of 697 is 17 x 41

Prime Factorization of 766 is 2 x 383

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(57, 473) = 26961

GCD(57, 473) = ( 57 x 473 ) / 26961

GCD(57, 473) = 26961 / 26961

GCD(57, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 57, 473, 697, 766 is 1

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1. What is the GCD of 57, 473, 697, 766?

GCD of 57, 473, 697, 766 is 1

2. Where do I get the detailed procedure to find GCD of 57, 473, 697, 766?

You can find a detailed procedure to find GCD of 57, 473, 697, 766 on our page.

3. How to find GCD of 57, 473, 697, 766 on a calculator?

You can find the GCD of 57, 473, 697, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.