GCD of 345, 834, 379, 849 Calculator

Given Input numbers are 345, 834, 379, 849

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 345, 834, 379, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 834, 379, 849 is 1.

Therefore, GCD of numbers 345, 834, 379, 849 is 1

Given Input Data is 345, 834, 379, 849

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 379 is 379

Prime Factorization of 849 is 3 x 283

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(345, 834) = 95910

GCD(345, 834) = ( 345 x 834 ) / 95910

GCD(345, 834) = 287730 / 95910

GCD(345, 834) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 379

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

LCM(3, 379) = 1137

GCD(3, 379) = ( 3 x 379 ) / 1137

GCD(3, 379) = 1137 / 1137

GCD(3, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 345, 834, 379, 849 is 1

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1. What is the GCD of 345, 834, 379, 849?

GCD of 345, 834, 379, 849 is 1

2. Where do I get the detailed procedure to find GCD of 345, 834, 379, 849?

You can find a detailed procedure to find GCD of 345, 834, 379, 849 on our page.

3. How to find GCD of 345, 834, 379, 849 on a calculator?

You can find the GCD of 345, 834, 379, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.