GCD of 471, 743, 693, 905 Calculator

Given Input numbers are 471, 743, 693, 905

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 471, 743, 693, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 743, 693, 905 is 1.

Therefore, GCD of numbers 471, 743, 693, 905 is 1

Given Input Data is 471, 743, 693, 905

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 743 is 743

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 905 is 5 x 181

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(471, 743) = 349953

GCD(471, 743) = ( 471 x 743 ) / 349953

GCD(471, 743) = 349953 / 349953

GCD(471, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 471, 743, 693, 905 is 1

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1. What is the GCD of 471, 743, 693, 905?

GCD of 471, 743, 693, 905 is 1

2. Where do I get the detailed procedure to find GCD of 471, 743, 693, 905?

You can find a detailed procedure to find GCD of 471, 743, 693, 905 on our page.

3. How to find GCD of 471, 743, 693, 905 on a calculator?

You can find the GCD of 471, 743, 693, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.