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 705, 242, 91, 226 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 242, 91, 226 is 1
GCD(705, 242, 91, 226) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 242, 91, 226 is 1
GCD(705, 242, 91, 226) = 1
Given Input numbers are 705, 242, 91, 226
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Greatest Common Divisior
We found the divisors of 705, 242, 91, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 242, 91, 226 is 1.
Therefore, GCD of numbers 705, 242, 91, 226 is 1
Given Input Data is 705, 242, 91, 226
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 91 is 7 x 13
Prime Factorization of 226 is 2 x 113
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(705, 242) = 170610
GCD(705, 242) = ( 705 x 242 ) / 170610
GCD(705, 242) = 170610 / 170610
GCD(705, 242) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
GCD of 705, 242, 91, 226 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 242, 91, 226?
GCD of 705, 242, 91, 226 is 1
2. Where do I get the detailed procedure to find GCD of 705, 242, 91, 226?
You can find a detailed procedure to find GCD of 705, 242, 91, 226 on our page.
3. How to find GCD of 705, 242, 91, 226 on a calculator?
You can find the GCD of 705, 242, 91, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.