GCD of 343, 698, 30, 296 Calculator

Given Input numbers are 343, 698, 30, 296

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

Divisors of 343

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

1, 7, 49, 343

Divisors of 698

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

1, 2, 349, 698

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 343, 698, 30, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 698, 30, 296 is 1.

Therefore, GCD of numbers 343, 698, 30, 296 is 1

Given Input Data is 343, 698, 30, 296

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 698 is 2 x 349

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(343, 698) = 239414

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

GCD(343, 698) = 239414 / 239414

GCD(343, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 343, 698, 30, 296 is 1

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• GCD of 276, 693, 66, 599
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1. What is the GCD of 343, 698, 30, 296?

GCD of 343, 698, 30, 296 is 1

2. Where do I get the detailed procedure to find GCD of 343, 698, 30, 296?

You can find a detailed procedure to find GCD of 343, 698, 30, 296 on our page.

3. How to find GCD of 343, 698, 30, 296 on a calculator?

You can find the GCD of 343, 698, 30, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.