GCD of 343, 552, 809, 915 Calculator

Given Input numbers are 343, 552, 809, 915

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 343, 552, 809, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 552, 809, 915 is 1.

Therefore, GCD of numbers 343, 552, 809, 915 is 1

Given Input Data is 343, 552, 809, 915

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 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 809 is 809

Prime Factorization of 915 is 3 x 5 x 61

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, 552) = 189336

GCD(343, 552) = ( 343 x 552 ) / 189336

GCD(343, 552) = 189336 / 189336

GCD(343, 552) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 343, 552, 809, 915 is 1

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1. What is the GCD of 343, 552, 809, 915?

GCD of 343, 552, 809, 915 is 1

2. Where do I get the detailed procedure to find GCD of 343, 552, 809, 915?

You can find a detailed procedure to find GCD of 343, 552, 809, 915 on our page.

3. How to find GCD of 343, 552, 809, 915 on a calculator?

You can find the GCD of 343, 552, 809, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.