GCD of 834, 343, 61, 422 Calculator

Given Input numbers are 834, 343, 61, 422

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

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 834, 343, 61, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 343, 61, 422 is 1.

Therefore, GCD of numbers 834, 343, 61, 422 is 1

Given Input Data is 834, 343, 61, 422

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 61 is 61

Prime Factorization of 422 is 2 x 211

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(834, 343) = 286062

GCD(834, 343) = ( 834 x 343 ) / 286062

GCD(834, 343) = 286062 / 286062

GCD(834, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 834, 343, 61, 422 is 1

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• GCD of 614, 483, 10, 512
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1. What is the GCD of 834, 343, 61, 422?

GCD of 834, 343, 61, 422 is 1

2. Where do I get the detailed procedure to find GCD of 834, 343, 61, 422?

You can find a detailed procedure to find GCD of 834, 343, 61, 422 on our page.

3. How to find GCD of 834, 343, 61, 422 on a calculator?

You can find the GCD of 834, 343, 61, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.