GCD of 755, 478, 82, 343 Calculator

Given Input numbers are 755, 478, 82, 343

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

Divisors of 755

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

1, 5, 151, 755

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 343

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

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 755, 478, 82, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 478, 82, 343 is 1.

Therefore, GCD of numbers 755, 478, 82, 343 is 1

Given Input Data is 755, 478, 82, 343

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 478 is 2 x 239

Prime Factorization of 82 is 2 x 41

Prime Factorization of 343 is 7 x 7 x 7

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(755, 478) = 360890

GCD(755, 478) = ( 755 x 478 ) / 360890

GCD(755, 478) = 360890 / 360890

GCD(755, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 755, 478, 82, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 751, 61, 882
• GCD of 521, 500, 13, 739
• GCD of 571, 141, 49, 481
• GCD of 644, 130, 10, 202
• GCD of 319, 795, 50, 319

1. What is the GCD of 755, 478, 82, 343?

GCD of 755, 478, 82, 343 is 1

2. Where do I get the detailed procedure to find GCD of 755, 478, 82, 343?

You can find a detailed procedure to find GCD of 755, 478, 82, 343 on our page.

3. How to find GCD of 755, 478, 82, 343 on a calculator?

You can find the GCD of 755, 478, 82, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.