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 numbers 354, 842, 725 is 1
GCD(354, 842, 725) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.