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 314, 121, 88, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 121, 88, 242 is 1
GCD(314, 121, 88, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 121, 88, 242 is 1
GCD(314, 121, 88, 242) = 1
Given Input numbers are 314, 121, 88, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 314, 121, 88, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 121, 88, 242 is 1.
Therefore, GCD of numbers 314, 121, 88, 242 is 1
Given Input Data is 314, 121, 88, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 121 is 11 x 11
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 242 is 2 x 11 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(314, 121) = 37994
GCD(314, 121) = ( 314 x 121 ) / 37994
GCD(314, 121) = 37994 / 37994
GCD(314, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 314, 121, 88, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 121, 88, 242?
GCD of 314, 121, 88, 242 is 1
2. Where do I get the detailed procedure to find GCD of 314, 121, 88, 242?
You can find a detailed procedure to find GCD of 314, 121, 88, 242 on our page.
3. How to find GCD of 314, 121, 88, 242 on a calculator?
You can find the GCD of 314, 121, 88, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.