GCD of 359, 834, 319, 371 Calculator

Given Input numbers are 359, 834, 319, 371

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 359, 834, 319, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 834, 319, 371 is 1.

Therefore, GCD of numbers 359, 834, 319, 371 is 1

Given Input Data is 359, 834, 319, 371

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

Prime Factorization of 359 is 359

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 319 is 11 x 29

Prime Factorization of 371 is 7 x 53

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(359, 834) = 299406

GCD(359, 834) = ( 359 x 834 ) / 299406

GCD(359, 834) = 299406 / 299406

GCD(359, 834) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 359, 834, 319, 371 is 1

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1. What is the GCD of 359, 834, 319, 371?

GCD of 359, 834, 319, 371 is 1

2. Where do I get the detailed procedure to find GCD of 359, 834, 319, 371?

You can find a detailed procedure to find GCD of 359, 834, 319, 371 on our page.

3. How to find GCD of 359, 834, 319, 371 on a calculator?

You can find the GCD of 359, 834, 319, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.