GCD of 397, 148, 986 Calculator

Given Input numbers are 397, 148, 986

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 397, 148, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 148, 986 is 1.

Therefore, GCD of numbers 397, 148, 986 is 1

Given Input Data is 397, 148, 986

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

Prime Factorization of 397 is 397

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 986 is 2 x 17 x 29

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(397, 148) = 58756

GCD(397, 148) = ( 397 x 148 ) / 58756

GCD(397, 148) = 58756 / 58756

GCD(397, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 397, 148, 986 is 1

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1. What is the GCD of 397, 148, 986?

GCD of 397, 148, 986 is 1

2. Where do I get the detailed procedure to find GCD of 397, 148, 986?

You can find a detailed procedure to find GCD of 397, 148, 986 on our page.

3. How to find GCD of 397, 148, 986 on a calculator?

You can find the GCD of 397, 148, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.