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 847, 278, 725, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 847, 278, 725, 353 is 1
GCD(847, 278, 725, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 847, 278, 725, 353 is 1
GCD(847, 278, 725, 353) = 1
Given Input numbers are 847, 278, 725, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 847, 278, 725, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 278, 725, 353 is 1.
Therefore, GCD of numbers 847, 278, 725, 353 is 1
Given Input Data is 847, 278, 725, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 278 is 2 x 139
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 353 is 353
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(847, 278) = 235466
GCD(847, 278) = ( 847 x 278 ) / 235466
GCD(847, 278) = 235466 / 235466
GCD(847, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 847, 278, 725, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 847, 278, 725, 353?
GCD of 847, 278, 725, 353 is 1
2. Where do I get the detailed procedure to find GCD of 847, 278, 725, 353?
You can find a detailed procedure to find GCD of 847, 278, 725, 353 on our page.
3. How to find GCD of 847, 278, 725, 353 on a calculator?
You can find the GCD of 847, 278, 725, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.