GCD of 743, 755, 27, 475 Calculator

Given Input numbers are 743, 755, 27, 475

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

Divisors of 743

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

1, 743

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 743, 755, 27, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 755, 27, 475 is 1.

Therefore, GCD of numbers 743, 755, 27, 475 is 1

Given Input Data is 743, 755, 27, 475

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

Prime Factorization of 743 is 743

Prime Factorization of 755 is 5 x 151

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 475 is 5 x 5 x 19

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(743, 755) = 560965

GCD(743, 755) = ( 743 x 755 ) / 560965

GCD(743, 755) = 560965 / 560965

GCD(743, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 743, 755, 27, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 775, 72, 215
• GCD of 836, 560, 61, 910
• GCD of 210, 344, 15, 742
• GCD of 718, 501, 65, 618
• GCD of 511, 823, 83, 586

1. What is the GCD of 743, 755, 27, 475?

GCD of 743, 755, 27, 475 is 1

2. Where do I get the detailed procedure to find GCD of 743, 755, 27, 475?

You can find a detailed procedure to find GCD of 743, 755, 27, 475 on our page.

3. How to find GCD of 743, 755, 27, 475 on a calculator?

You can find the GCD of 743, 755, 27, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.