GCD of 493, 415, 25, 672 Calculator

Given Input numbers are 493, 415, 25, 672

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 493, 415, 25, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 415, 25, 672 is 1.

Therefore, GCD of numbers 493, 415, 25, 672 is 1

Given Input Data is 493, 415, 25, 672

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 415 is 5 x 83

Prime Factorization of 25 is 5 x 5

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 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(493, 415) = 204595

GCD(493, 415) = ( 493 x 415 ) / 204595

GCD(493, 415) = 204595 / 204595

GCD(493, 415) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 493, 415, 25, 672 is 1

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1. What is the GCD of 493, 415, 25, 672?

GCD of 493, 415, 25, 672 is 1

2. Where do I get the detailed procedure to find GCD of 493, 415, 25, 672?

You can find a detailed procedure to find GCD of 493, 415, 25, 672 on our page.

3. How to find GCD of 493, 415, 25, 672 on a calculator?

You can find the GCD of 493, 415, 25, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.