GCD of 353, 168, 825, 723 Calculator

Given Input numbers are 353, 168, 825, 723

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 353, 168, 825, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 168, 825, 723 is 1.

Therefore, GCD of numbers 353, 168, 825, 723 is 1

Given Input Data is 353, 168, 825, 723

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

Prime Factorization of 353 is 353

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 723 is 3 x 241

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(353, 168) = 59304

GCD(353, 168) = ( 353 x 168 ) / 59304

GCD(353, 168) = 59304 / 59304

GCD(353, 168) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 353, 168, 825, 723 is 1

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• GCD of 275, 608, 267, 209
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• GCD of 870, 414, 836, 149

1. What is the GCD of 353, 168, 825, 723?

GCD of 353, 168, 825, 723 is 1

2. Where do I get the detailed procedure to find GCD of 353, 168, 825, 723?

You can find a detailed procedure to find GCD of 353, 168, 825, 723 on our page.

3. How to find GCD of 353, 168, 825, 723 on a calculator?

You can find the GCD of 353, 168, 825, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.