GCD of 735, 413, 724, 900 Calculator

Given Input numbers are 735, 413, 724, 900

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 735, 413, 724, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 413, 724, 900 is 1.

Therefore, GCD of numbers 735, 413, 724, 900 is 1

Given Input Data is 735, 413, 724, 900

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 413 is 7 x 59

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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, 413) = 43365

GCD(735, 413) = ( 735 x 413 ) / 43365

GCD(735, 413) = 303555 / 43365

GCD(735, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 724

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

LCM(7, 724) = 5068

GCD(7, 724) = ( 7 x 724 ) / 5068

GCD(7, 724) = 5068 / 5068

GCD(7, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 735, 413, 724, 900 is 1

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1. What is the GCD of 735, 413, 724, 900?

GCD of 735, 413, 724, 900 is 1

2. Where do I get the detailed procedure to find GCD of 735, 413, 724, 900?

You can find a detailed procedure to find GCD of 735, 413, 724, 900 on our page.

3. How to find GCD of 735, 413, 724, 900 on a calculator?

You can find the GCD of 735, 413, 724, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.