GCD of 725, 170, 203 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 725, 170, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 170, 203 is 1
GCD(725, 170, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 170, 203 is 1
GCD(725, 170, 203) = 1
GCDof 725,170,203 is 1
Given Input numbers are 725, 170, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 725, 170, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 170, 203 is 1.
Therefore, GCD of numbers 725, 170, 203 is 1
Given Input Data is 725, 170, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 203 is 7 x 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 725, 170, 203 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(725, 170) = 24650
GCD(725, 170) = ( 725 x 170 ) / 24650
GCD(725, 170) = 123250 / 24650
GCD(725, 170) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 203) = 1015
GCD(5, 203) = ( 5 x 203 ) / 1015
GCD(5, 203) = 1015 / 1015
GCD(5, 203) = 1
GCD of 725, 170, 203 is 1
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FAQs on GCD of numbers 725, 170, 203
1. What is the GCD of 725, 170, 203?
GCD of 725, 170, 203 is 1
2. Where do I get the detailed procedure to find GCD of 725, 170, 203?
You can find a detailed procedure to find GCD of 725, 170, 203 on our page.
3. How to find GCD of 725, 170, 203 on a calculator?
You can find the GCD of 725, 170, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.