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 255, 170, 58, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 170, 58, 755 is 1
GCD(255, 170, 58, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 170, 58, 755 is 1
GCD(255, 170, 58, 755) = 1
Given Input numbers are 255, 170, 58, 755
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
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 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 255, 170, 58, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 170, 58, 755 is 1.
Therefore, GCD of numbers 255, 170, 58, 755 is 1
Given Input Data is 255, 170, 58, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 58 is 2 x 29
Prime Factorization of 755 is 5 x 151
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(255, 170) = 510
GCD(255, 170) = ( 255 x 170 ) / 510
GCD(255, 170) = 43350 / 510
GCD(255, 170) = 85
Step2:
Here we consider the GCD from the above i.e. 85 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(85, 58) = 4930
GCD(85, 58) = ( 85 x 58 ) / 4930
GCD(85, 58) = 4930 / 4930
GCD(85, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 255, 170, 58, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 170, 58, 755?
GCD of 255, 170, 58, 755 is 1
2. Where do I get the detailed procedure to find GCD of 255, 170, 58, 755?
You can find a detailed procedure to find GCD of 255, 170, 58, 755 on our page.
3. How to find GCD of 255, 170, 58, 755 on a calculator?
You can find the GCD of 255, 170, 58, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.