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, 891, 49, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 891, 49, 297 is 1
GCD(275, 891, 49, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 891, 49, 297 is 1
GCD(275, 891, 49, 297) = 1
Given Input numbers are 275, 891, 49, 297
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 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 275, 891, 49, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 891, 49, 297 is 1.
Therefore, GCD of numbers 275, 891, 49, 297 is 1
Given Input Data is 275, 891, 49, 297
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 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 49 is 7 x 7
Prime Factorization of 297 is 3 x 3 x 3 x 11
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, 891) = 22275
GCD(275, 891) = ( 275 x 891 ) / 22275
GCD(275, 891) = 245025 / 22275
GCD(275, 891) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 49) = 539
GCD(11, 49) = ( 11 x 49 ) / 539
GCD(11, 49) = 539 / 539
GCD(11, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 275, 891, 49, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 891, 49, 297?
GCD of 275, 891, 49, 297 is 1
2. Where do I get the detailed procedure to find GCD of 275, 891, 49, 297?
You can find a detailed procedure to find GCD of 275, 891, 49, 297 on our page.
3. How to find GCD of 275, 891, 49, 297 on a calculator?
You can find the GCD of 275, 891, 49, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.