GCD of 349, 893, 45, 305 Calculator

Given Input numbers are 349, 893, 45, 305

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 349, 893, 45, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 893, 45, 305 is 1.

Therefore, GCD of numbers 349, 893, 45, 305 is 1

Given Input Data is 349, 893, 45, 305

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

Prime Factorization of 349 is 349

Prime Factorization of 893 is 19 x 47

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 305 is 5 x 61

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(349, 893) = 311657

GCD(349, 893) = ( 349 x 893 ) / 311657

GCD(349, 893) = 311657 / 311657

GCD(349, 893) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 349, 893, 45, 305 is 1

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• GCD of 242, 671, 68, 363
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1. What is the GCD of 349, 893, 45, 305?

GCD of 349, 893, 45, 305 is 1

2. Where do I get the detailed procedure to find GCD of 349, 893, 45, 305?

You can find a detailed procedure to find GCD of 349, 893, 45, 305 on our page.

3. How to find GCD of 349, 893, 45, 305 on a calculator?

You can find the GCD of 349, 893, 45, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.