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 121, 272, 54, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 272, 54, 601 is 1
GCD(121, 272, 54, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 272, 54, 601 is 1
GCD(121, 272, 54, 601) = 1
Given Input numbers are 121, 272, 54, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 121, 272, 54, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 272, 54, 601 is 1.
Therefore, GCD of numbers 121, 272, 54, 601 is 1
Given Input Data is 121, 272, 54, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 601 is 601
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(121, 272) = 32912
GCD(121, 272) = ( 121 x 272 ) / 32912
GCD(121, 272) = 32912 / 32912
GCD(121, 272) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 121, 272, 54, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 272, 54, 601?
GCD of 121, 272, 54, 601 is 1
2. Where do I get the detailed procedure to find GCD of 121, 272, 54, 601?
You can find a detailed procedure to find GCD of 121, 272, 54, 601 on our page.
3. How to find GCD of 121, 272, 54, 601 on a calculator?
You can find the GCD of 121, 272, 54, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.