GCD of 355, 275, 23, 738 Calculator

Given Input numbers are 355, 275, 23, 738

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 355, 275, 23, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 275, 23, 738 is 1.

Therefore, GCD of numbers 355, 275, 23, 738 is 1

Given Input Data is 355, 275, 23, 738

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 23 is 23

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(355, 275) = 19525

GCD(355, 275) = ( 355 x 275 ) / 19525

GCD(355, 275) = 97625 / 19525

GCD(355, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 23

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

LCM(5, 23) = 115

GCD(5, 23) = ( 5 x 23 ) / 115

GCD(5, 23) = 115 / 115

GCD(5, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 355, 275, 23, 738 is 1

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1. What is the GCD of 355, 275, 23, 738?

GCD of 355, 275, 23, 738 is 1

2. Where do I get the detailed procedure to find GCD of 355, 275, 23, 738?

You can find a detailed procedure to find GCD of 355, 275, 23, 738 on our page.

3. How to find GCD of 355, 275, 23, 738 on a calculator?

You can find the GCD of 355, 275, 23, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.