GCD of 343, 830, 75, 172 Calculator

Given Input numbers are 343, 830, 75, 172

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 343, 830, 75, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 830, 75, 172 is 1.

Therefore, GCD of numbers 343, 830, 75, 172 is 1

Given Input Data is 343, 830, 75, 172

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 830 is 2 x 5 x 83

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 172 is 2 x 2 x 43

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, 830) = 284690

GCD(343, 830) = ( 343 x 830 ) / 284690

GCD(343, 830) = 284690 / 284690

GCD(343, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 343, 830, 75, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 629, 64, 394
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• GCD of 529, 809, 20, 539

1. What is the GCD of 343, 830, 75, 172?

GCD of 343, 830, 75, 172 is 1

2. Where do I get the detailed procedure to find GCD of 343, 830, 75, 172?

You can find a detailed procedure to find GCD of 343, 830, 75, 172 on our page.

3. How to find GCD of 343, 830, 75, 172 on a calculator?

You can find the GCD of 343, 830, 75, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.