GCD of 344, 605, 471, 953 Calculator

Given Input numbers are 344, 605, 471, 953

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 344, 605, 471, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 605, 471, 953 is 1.

Therefore, GCD of numbers 344, 605, 471, 953 is 1

Given Input Data is 344, 605, 471, 953

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 471 is 3 x 157

Prime Factorization of 953 is 953

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(344, 605) = 208120

GCD(344, 605) = ( 344 x 605 ) / 208120

GCD(344, 605) = 208120 / 208120

GCD(344, 605) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 344, 605, 471, 953 is 1

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1. What is the GCD of 344, 605, 471, 953?

GCD of 344, 605, 471, 953 is 1

2. Where do I get the detailed procedure to find GCD of 344, 605, 471, 953?

You can find a detailed procedure to find GCD of 344, 605, 471, 953 on our page.

3. How to find GCD of 344, 605, 471, 953 on a calculator?

You can find the GCD of 344, 605, 471, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.