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, 153, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 153, 701 is 1
GCD(516, 153, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 153, 701 is 1
GCD(516, 153, 701) = 1
Given Input numbers are 516, 153, 701
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 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 516, 153, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 153, 701 is 1.
Therefore, GCD of numbers 516, 153, 701 is 1
Given Input Data is 516, 153, 701
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 153 is 3 x 3 x 17
Prime Factorization of 701 is 701
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, 153) = 26316
GCD(516, 153) = ( 516 x 153 ) / 26316
GCD(516, 153) = 78948 / 26316
GCD(516, 153) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 701) = 2103
GCD(3, 701) = ( 3 x 701 ) / 2103
GCD(3, 701) = 2103 / 2103
GCD(3, 701) = 1
GCD of 516, 153, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 153, 701?
GCD of 516, 153, 701 is 1
2. Where do I get the detailed procedure to find GCD of 516, 153, 701?
You can find a detailed procedure to find GCD of 516, 153, 701 on our page.
3. How to find GCD of 516, 153, 701 on a calculator?
You can find the GCD of 516, 153, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.