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 516, 255, 155, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 255, 155, 755 is 1
GCD(516, 255, 155, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 255, 155, 755 is 1
GCD(516, 255, 155, 755) = 1
Given Input numbers are 516, 255, 155, 755
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
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 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
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 516, 255, 155, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 255, 155, 755 is 1.
Therefore, GCD of numbers 516, 255, 155, 755 is 1
Given Input Data is 516, 255, 155, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 155 is 5 x 31
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(516, 255) = 43860
GCD(516, 255) = ( 516 x 255 ) / 43860
GCD(516, 255) = 131580 / 43860
GCD(516, 255) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 155) = 465
GCD(3, 155) = ( 3 x 155 ) / 465
GCD(3, 155) = 465 / 465
GCD(3, 155) = 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 516, 255, 155, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 255, 155, 755?
GCD of 516, 255, 155, 755 is 1
2. Where do I get the detailed procedure to find GCD of 516, 255, 155, 755?
You can find a detailed procedure to find GCD of 516, 255, 155, 755 on our page.
3. How to find GCD of 516, 255, 155, 755 on a calculator?
You can find the GCD of 516, 255, 155, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.