GCD of 735, 207, 884, 407 Calculator

Given Input numbers are 735, 207, 884, 407

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

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 735, 207, 884, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 207, 884, 407 is 1.

Therefore, GCD of numbers 735, 207, 884, 407 is 1

Given Input Data is 735, 207, 884, 407

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

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 407 is 11 x 37

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(735, 207) = 50715

GCD(735, 207) = ( 735 x 207 ) / 50715

GCD(735, 207) = 152145 / 50715

GCD(735, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 884

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

LCM(3, 884) = 2652

GCD(3, 884) = ( 3 x 884 ) / 2652

GCD(3, 884) = 2652 / 2652

GCD(3, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 735, 207, 884, 407 is 1

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1. What is the GCD of 735, 207, 884, 407?

GCD of 735, 207, 884, 407 is 1

2. Where do I get the detailed procedure to find GCD of 735, 207, 884, 407?

You can find a detailed procedure to find GCD of 735, 207, 884, 407 on our page.

3. How to find GCD of 735, 207, 884, 407 on a calculator?

You can find the GCD of 735, 207, 884, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.