GCD of 698, 343, 80, 393 Calculator

Given Input numbers are 698, 343, 80, 393

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 698, 343, 80, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 343, 80, 393 is 1.

Therefore, GCD of numbers 698, 343, 80, 393 is 1

Given Input Data is 698, 343, 80, 393

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 393 is 3 x 131

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(698, 343) = 239414

GCD(698, 343) = ( 698 x 343 ) / 239414

GCD(698, 343) = 239414 / 239414

GCD(698, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 698, 343, 80, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 534, 19, 614
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• GCD of 270, 704, 42, 736
• GCD of 291, 837, 18, 794
• GCD of 584, 341, 34, 503

1. What is the GCD of 698, 343, 80, 393?

GCD of 698, 343, 80, 393 is 1

2. Where do I get the detailed procedure to find GCD of 698, 343, 80, 393?

You can find a detailed procedure to find GCD of 698, 343, 80, 393 on our page.

3. How to find GCD of 698, 343, 80, 393 on a calculator?

You can find the GCD of 698, 343, 80, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.