GCD of 742, 163, 408 Calculator

Given Input numbers are 742, 163, 408

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 742, 163, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 163, 408 is 1.

Therefore, GCD of numbers 742, 163, 408 is 1

Given Input Data is 742, 163, 408

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 163 is 163

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(742, 163) = 120946

GCD(742, 163) = ( 742 x 163 ) / 120946

GCD(742, 163) = 120946 / 120946

GCD(742, 163) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 742, 163, 408 is 1

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1. What is the GCD of 742, 163, 408?

GCD of 742, 163, 408 is 1

2. Where do I get the detailed procedure to find GCD of 742, 163, 408?

You can find a detailed procedure to find GCD of 742, 163, 408 on our page.

3. How to find GCD of 742, 163, 408 on a calculator?

You can find the GCD of 742, 163, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.