GCD of 395, 420, 97, 313 Calculator

Given Input numbers are 395, 420, 97, 313

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 395, 420, 97, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 420, 97, 313 is 1.

Therefore, GCD of numbers 395, 420, 97, 313 is 1

Given Input Data is 395, 420, 97, 313

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 97 is 97

Prime Factorization of 313 is 313

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(395, 420) = 33180

GCD(395, 420) = ( 395 x 420 ) / 33180

GCD(395, 420) = 165900 / 33180

GCD(395, 420) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 97

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

LCM(5, 97) = 485

GCD(5, 97) = ( 5 x 97 ) / 485

GCD(5, 97) = 485 / 485

GCD(5, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 395, 420, 97, 313 is 1

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• GCD of 325, 239, 82, 387
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• GCD of 994, 911, 12, 246
• GCD of 329, 161, 69, 573
• GCD of 708, 725, 21, 249

1. What is the GCD of 395, 420, 97, 313?

GCD of 395, 420, 97, 313 is 1

2. Where do I get the detailed procedure to find GCD of 395, 420, 97, 313?

You can find a detailed procedure to find GCD of 395, 420, 97, 313 on our page.

3. How to find GCD of 395, 420, 97, 313 on a calculator?

You can find the GCD of 395, 420, 97, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.