GCD of 493, 756, 908, 953 Calculator

Given Input numbers are 493, 756, 908, 953

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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 493, 756, 908, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 756, 908, 953 is 1.

Therefore, GCD of numbers 493, 756, 908, 953 is 1

Given Input Data is 493, 756, 908, 953

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 908 is 2 x 2 x 227

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(493, 756) = 372708

GCD(493, 756) = ( 493 x 756 ) / 372708

GCD(493, 756) = 372708 / 372708

GCD(493, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 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 493, 756, 908, 953 is 1

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1. What is the GCD of 493, 756, 908, 953?

GCD of 493, 756, 908, 953 is 1

2. Where do I get the detailed procedure to find GCD of 493, 756, 908, 953?

You can find a detailed procedure to find GCD of 493, 756, 908, 953 on our page.

3. How to find GCD of 493, 756, 908, 953 on a calculator?

You can find the GCD of 493, 756, 908, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.