GCD of 408, 742, 633, 369 Calculator

Given Input numbers are 408, 742, 633, 369

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

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

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 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 408, 742, 633, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 742, 633, 369 is 1.

Therefore, GCD of numbers 408, 742, 633, 369 is 1

Given Input Data is 408, 742, 633, 369

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

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 633 is 3 x 211

Prime Factorization of 369 is 3 x 3 x 41

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(408, 742) = 151368

GCD(408, 742) = ( 408 x 742 ) / 151368

GCD(408, 742) = 302736 / 151368

GCD(408, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 408, 742, 633, 369 is 1

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• GCD of 146, 466, 308, 229
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1. What is the GCD of 408, 742, 633, 369?

GCD of 408, 742, 633, 369 is 1

2. Where do I get the detailed procedure to find GCD of 408, 742, 633, 369?

You can find a detailed procedure to find GCD of 408, 742, 633, 369 on our page.

3. How to find GCD of 408, 742, 633, 369 on a calculator?

You can find the GCD of 408, 742, 633, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.