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 241, 927, 748, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 241, 927, 748, 154 is 1
GCD(241, 927, 748, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 241, 927, 748, 154 is 1
GCD(241, 927, 748, 154) = 1
Given Input numbers are 241, 927, 748, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 241, 927, 748, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 927, 748, 154 is 1.
Therefore, GCD of numbers 241, 927, 748, 154 is 1
Given Input Data is 241, 927, 748, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 241 is 241
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 154 is 2 x 7 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(241, 927) = 223407
GCD(241, 927) = ( 241 x 927 ) / 223407
GCD(241, 927) = 223407 / 223407
GCD(241, 927) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 241, 927, 748, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 241, 927, 748, 154?
GCD of 241, 927, 748, 154 is 1
2. Where do I get the detailed procedure to find GCD of 241, 927, 748, 154?
You can find a detailed procedure to find GCD of 241, 927, 748, 154 on our page.
3. How to find GCD of 241, 927, 748, 154 on a calculator?
You can find the GCD of 241, 927, 748, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.