GCD of 398, 870, 46, 401 Calculator

Given Input numbers are 398, 870, 46, 401

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 398, 870, 46, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 870, 46, 401 is 1.

Therefore, GCD of numbers 398, 870, 46, 401 is 1

Given Input Data is 398, 870, 46, 401

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 46 is 2 x 23

Prime Factorization of 401 is 401

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(398, 870) = 173130

GCD(398, 870) = ( 398 x 870 ) / 173130

GCD(398, 870) = 346260 / 173130

GCD(398, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 401

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

LCM(2, 401) = 802

GCD(2, 401) = ( 2 x 401 ) / 802

GCD(2, 401) = 802 / 802

GCD(2, 401) = 1

GCD of 398, 870, 46, 401 is 1

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• GCD of 109, 523, 35, 884
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• GCD of 724, 956, 59, 843
• GCD of 907, 468, 44, 397
• GCD of 580, 204, 77, 727

1. What is the GCD of 398, 870, 46, 401?

GCD of 398, 870, 46, 401 is 1

2. Where do I get the detailed procedure to find GCD of 398, 870, 46, 401?

You can find a detailed procedure to find GCD of 398, 870, 46, 401 on our page.

3. How to find GCD of 398, 870, 46, 401 on a calculator?

You can find the GCD of 398, 870, 46, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.