GCD of 705, 173, 74, 813 Calculator

Given Input numbers are 705, 173, 74, 813

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 705, 173, 74, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 173, 74, 813 is 1.

Therefore, GCD of numbers 705, 173, 74, 813 is 1

Given Input Data is 705, 173, 74, 813

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 173 is 173

Prime Factorization of 74 is 2 x 37

Prime Factorization of 813 is 3 x 271

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(705, 173) = 121965

GCD(705, 173) = ( 705 x 173 ) / 121965

GCD(705, 173) = 121965 / 121965

GCD(705, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 705, 173, 74, 813 is 1

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• GCD of 182, 363, 12, 345
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1. What is the GCD of 705, 173, 74, 813?

GCD of 705, 173, 74, 813 is 1

2. Where do I get the detailed procedure to find GCD of 705, 173, 74, 813?

You can find a detailed procedure to find GCD of 705, 173, 74, 813 on our page.

3. How to find GCD of 705, 173, 74, 813 on a calculator?

You can find the GCD of 705, 173, 74, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.