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, 270, 604, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 270, 604, 157 is 1
GCD(121, 270, 604, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 270, 604, 157 is 1
GCD(121, 270, 604, 157) = 1
Given Input numbers are 121, 270, 604, 157
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 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 121, 270, 604, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 270, 604, 157 is 1.
Therefore, GCD of numbers 121, 270, 604, 157 is 1
Given Input Data is 121, 270, 604, 157
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 157 is 157
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, 270) = 32670
GCD(121, 270) = ( 121 x 270 ) / 32670
GCD(121, 270) = 32670 / 32670
GCD(121, 270) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 121, 270, 604, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 270, 604, 157?
GCD of 121, 270, 604, 157 is 1
2. Where do I get the detailed procedure to find GCD of 121, 270, 604, 157?
You can find a detailed procedure to find GCD of 121, 270, 604, 157 on our page.
3. How to find GCD of 121, 270, 604, 157 on a calculator?
You can find the GCD of 121, 270, 604, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.