GCD of 929, 473, 705, 172 Calculator

Given Input numbers are 929, 473, 705, 172

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

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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 929, 473, 705, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 473, 705, 172 is 1.

Therefore, GCD of numbers 929, 473, 705, 172 is 1

Given Input Data is 929, 473, 705, 172

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

Prime Factorization of 929 is 929

Prime Factorization of 473 is 11 x 43

Prime Factorization of 705 is 3 x 5 x 47

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(929, 473) = 439417

GCD(929, 473) = ( 929 x 473 ) / 439417

GCD(929, 473) = 439417 / 439417

GCD(929, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 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 929, 473, 705, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 890, 416, 449
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• GCD of 170, 776, 192, 539
• GCD of 234, 855, 342, 723

1. What is the GCD of 929, 473, 705, 172?

GCD of 929, 473, 705, 172 is 1

2. Where do I get the detailed procedure to find GCD of 929, 473, 705, 172?

You can find a detailed procedure to find GCD of 929, 473, 705, 172 on our page.

3. How to find GCD of 929, 473, 705, 172 on a calculator?

You can find the GCD of 929, 473, 705, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.