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, 170, 135, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 241, 170, 135, 577 is 1
GCD(241, 170, 135, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 241, 170, 135, 577 is 1
GCD(241, 170, 135, 577) = 1
Given Input numbers are 241, 170, 135, 577
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 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 241, 170, 135, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 170, 135, 577 is 1.
Therefore, GCD of numbers 241, 170, 135, 577 is 1
Given Input Data is 241, 170, 135, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 241 is 241
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 577 is 577
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, 170) = 40970
GCD(241, 170) = ( 241 x 170 ) / 40970
GCD(241, 170) = 40970 / 40970
GCD(241, 170) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
GCD(1, 577) = 577 / 577
GCD(1, 577) = 1
GCD of 241, 170, 135, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 241, 170, 135, 577?
GCD of 241, 170, 135, 577 is 1
2. Where do I get the detailed procedure to find GCD of 241, 170, 135, 577?
You can find a detailed procedure to find GCD of 241, 170, 135, 577 on our page.
3. How to find GCD of 241, 170, 135, 577 on a calculator?
You can find the GCD of 241, 170, 135, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.