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 275, 349, 72, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 349, 72, 853 is 1
GCD(275, 349, 72, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 349, 72, 853 is 1
GCD(275, 349, 72, 853) = 1
Given Input numbers are 275, 349, 72, 853
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 275, 349, 72, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 349, 72, 853 is 1.
Therefore, GCD of numbers 275, 349, 72, 853 is 1
Given Input Data is 275, 349, 72, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 349 is 349
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 853 is 853
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(275, 349) = 95975
GCD(275, 349) = ( 275 x 349 ) / 95975
GCD(275, 349) = 95975 / 95975
GCD(275, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 275, 349, 72, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 349, 72, 853?
GCD of 275, 349, 72, 853 is 1
2. Where do I get the detailed procedure to find GCD of 275, 349, 72, 853?
You can find a detailed procedure to find GCD of 275, 349, 72, 853 on our page.
3. How to find GCD of 275, 349, 72, 853 on a calculator?
You can find the GCD of 275, 349, 72, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.