GCD of 343, 452, 792, 302 Calculator

Given Input numbers are 343, 452, 792, 302

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 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 343, 452, 792, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 452, 792, 302 is 1.

Therefore, GCD of numbers 343, 452, 792, 302 is 1

Given Input Data is 343, 452, 792, 302

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 452 is 2 x 2 x 113

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 302 is 2 x 151

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, 452) = 155036

GCD(343, 452) = ( 343 x 452 ) / 155036

GCD(343, 452) = 155036 / 155036

GCD(343, 452) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 343, 452, 792, 302 is 1

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1. What is the GCD of 343, 452, 792, 302?

GCD of 343, 452, 792, 302 is 1

2. Where do I get the detailed procedure to find GCD of 343, 452, 792, 302?

You can find a detailed procedure to find GCD of 343, 452, 792, 302 on our page.

3. How to find GCD of 343, 452, 792, 302 on a calculator?

You can find the GCD of 343, 452, 792, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.