GCD of 469, 409, 735, 648 Calculator

Given Input numbers are 469, 409, 735, 648

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 469, 409, 735, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 409, 735, 648 is 1.

Therefore, GCD of numbers 469, 409, 735, 648 is 1

Given Input Data is 469, 409, 735, 648

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 409 is 409

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(469, 409) = 191821

GCD(469, 409) = ( 469 x 409 ) / 191821

GCD(469, 409) = 191821 / 191821

GCD(469, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 469, 409, 735, 648 is 1

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1. What is the GCD of 469, 409, 735, 648?

GCD of 469, 409, 735, 648 is 1

2. Where do I get the detailed procedure to find GCD of 469, 409, 735, 648?

You can find a detailed procedure to find GCD of 469, 409, 735, 648 on our page.

3. How to find GCD of 469, 409, 735, 648 on a calculator?

You can find the GCD of 469, 409, 735, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.