GCD of 113, 396, 373, 698 Calculator

Given Input numbers are 113, 396, 373, 698

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 113, 396, 373, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 396, 373, 698 is 1.

Therefore, GCD of numbers 113, 396, 373, 698 is 1

Given Input Data is 113, 396, 373, 698

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

Prime Factorization of 113 is 113

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 373 is 373

Prime Factorization of 698 is 2 x 349

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(113, 396) = 44748

GCD(113, 396) = ( 113 x 396 ) / 44748

GCD(113, 396) = 44748 / 44748

GCD(113, 396) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 373

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

LCM(1, 373) = 373

GCD(1, 373) = ( 1 x 373 ) / 373

GCD(1, 373) = 373 / 373

GCD(1, 373) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 113, 396, 373, 698 is 1

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1. What is the GCD of 113, 396, 373, 698?

GCD of 113, 396, 373, 698 is 1

2. Where do I get the detailed procedure to find GCD of 113, 396, 373, 698?

You can find a detailed procedure to find GCD of 113, 396, 373, 698 on our page.

3. How to find GCD of 113, 396, 373, 698 on a calculator?

You can find the GCD of 113, 396, 373, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.