GCD of 829, 560, 946, 422 Calculator

Given Input numbers are 829, 560, 946, 422

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 829, 560, 946, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 560, 946, 422 is 1.

Therefore, GCD of numbers 829, 560, 946, 422 is 1

Given Input Data is 829, 560, 946, 422

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

Prime Factorization of 829 is 829

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 946 is 2 x 11 x 43

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(829, 560) = 464240

GCD(829, 560) = ( 829 x 560 ) / 464240

GCD(829, 560) = 464240 / 464240

GCD(829, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 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 829, 560, 946, 422 is 1

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1. What is the GCD of 829, 560, 946, 422?

GCD of 829, 560, 946, 422 is 1

2. Where do I get the detailed procedure to find GCD of 829, 560, 946, 422?

You can find a detailed procedure to find GCD of 829, 560, 946, 422 on our page.

3. How to find GCD of 829, 560, 946, 422 on a calculator?

You can find the GCD of 829, 560, 946, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.