GCD of 354, 842, 725 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 354, 842, 725 i.e. 1 largest integer that divides all the numbers equally.

GCD of 354, 842, 725 is 1

GCD(354, 842, 725) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 354, 842, 725 is 1

GCD(354, 842, 725) = 1

GCD of 354,842,725 Calculator

GCDof 354,842,725 is 1

Given Input numbers are 354, 842, 725

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 354, 842, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 842, 725 is 1.

Therefore, GCD of numbers 354, 842, 725 is 1

Finding GCD of 354, 842, 725 using Prime Factorization

Given Input Data is 354, 842, 725

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 842 is 2 x 421

Prime Factorization of 725 is 5 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 354, 842, 725 using LCM Formula

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(354, 842) = 149034

GCD(354, 842) = ( 354 x 842 ) / 149034

GCD(354, 842) = 298068 / 149034

GCD(354, 842) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

GCD of 354, 842, 725 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 354, 842, 725

1. What is the GCD of 354, 842, 725?

GCD of 354, 842, 725 is 1


2. Where do I get the detailed procedure to find GCD of 354, 842, 725?

You can find a detailed procedure to find GCD of 354, 842, 725 on our page.


3. How to find GCD of 354, 842, 725 on a calculator?

You can find the GCD of 354, 842, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.