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 122, 891, 237, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 891, 237, 253 is 1
GCD(122, 891, 237, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 891, 237, 253 is 1
GCD(122, 891, 237, 253) = 1
Given Input numbers are 122, 891, 237, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
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 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 122, 891, 237, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 891, 237, 253 is 1.
Therefore, GCD of numbers 122, 891, 237, 253 is 1
Given Input Data is 122, 891, 237, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 237 is 3 x 79
Prime Factorization of 253 is 11 x 23
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(122, 891) = 108702
GCD(122, 891) = ( 122 x 891 ) / 108702
GCD(122, 891) = 108702 / 108702
GCD(122, 891) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 122, 891, 237, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 891, 237, 253?
GCD of 122, 891, 237, 253 is 1
2. Where do I get the detailed procedure to find GCD of 122, 891, 237, 253?
You can find a detailed procedure to find GCD of 122, 891, 237, 253 on our page.
3. How to find GCD of 122, 891, 237, 253 on a calculator?
You can find the GCD of 122, 891, 237, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.