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 275, 401, 240, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 401, 240, 159 is 1
GCD(275, 401, 240, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 401, 240, 159 is 1
GCD(275, 401, 240, 159) = 1
Given Input numbers are 275, 401, 240, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 275, 401, 240, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 401, 240, 159 is 1.
Therefore, GCD of numbers 275, 401, 240, 159 is 1
Given Input Data is 275, 401, 240, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 401 is 401
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 159 is 3 x 53
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(275, 401) = 110275
GCD(275, 401) = ( 275 x 401 ) / 110275
GCD(275, 401) = 110275 / 110275
GCD(275, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
GCD of 275, 401, 240, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 401, 240, 159?
GCD of 275, 401, 240, 159 is 1
2. Where do I get the detailed procedure to find GCD of 275, 401, 240, 159?
You can find a detailed procedure to find GCD of 275, 401, 240, 159 on our page.
3. How to find GCD of 275, 401, 240, 159 on a calculator?
You can find the GCD of 275, 401, 240, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.