GCD of 343, 755, 240, 824 Calculator

Given Input numbers are 343, 755, 240, 824

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 343, 755, 240, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 755, 240, 824 is 1.

Therefore, GCD of numbers 343, 755, 240, 824 is 1

Given Input Data is 343, 755, 240, 824

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 755 is 5 x 151

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 824 is 2 x 2 x 2 x 103

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, 755) = 258965

GCD(343, 755) = ( 343 x 755 ) / 258965

GCD(343, 755) = 258965 / 258965

GCD(343, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 343, 755, 240, 824 is 1

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1. What is the GCD of 343, 755, 240, 824?

GCD of 343, 755, 240, 824 is 1

2. Where do I get the detailed procedure to find GCD of 343, 755, 240, 824?

You can find a detailed procedure to find GCD of 343, 755, 240, 824 on our page.

3. How to find GCD of 343, 755, 240, 824 on a calculator?

You can find the GCD of 343, 755, 240, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.