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 242, 275, 59, 266 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 275, 59, 266 is 1
GCD(242, 275, 59, 266) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 275, 59, 266 is 1
GCD(242, 275, 59, 266) = 1
Given Input numbers are 242, 275, 59, 266
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 242, 275, 59, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 275, 59, 266 is 1.
Therefore, GCD of numbers 242, 275, 59, 266 is 1
Given Input Data is 242, 275, 59, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 59 is 59
Prime Factorization of 266 is 2 x 7 x 19
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(242, 275) = 6050
GCD(242, 275) = ( 242 x 275 ) / 6050
GCD(242, 275) = 66550 / 6050
GCD(242, 275) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 59) = 649
GCD(11, 59) = ( 11 x 59 ) / 649
GCD(11, 59) = 649 / 649
GCD(11, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
GCD of 242, 275, 59, 266 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 275, 59, 266?
GCD of 242, 275, 59, 266 is 1
2. Where do I get the detailed procedure to find GCD of 242, 275, 59, 266?
You can find a detailed procedure to find GCD of 242, 275, 59, 266 on our page.
3. How to find GCD of 242, 275, 59, 266 on a calculator?
You can find the GCD of 242, 275, 59, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.