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 701, 516, 24, 504 i.e. 1 largest integer that divides all the numbers equally.
GCD of 701, 516, 24, 504 is 1
GCD(701, 516, 24, 504) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 701, 516, 24, 504 is 1
GCD(701, 516, 24, 504) = 1
Given Input numbers are 701, 516, 24, 504
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
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 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Greatest Common Divisior
We found the divisors of 701, 516, 24, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 516, 24, 504 is 1.
Therefore, GCD of numbers 701, 516, 24, 504 is 1
Given Input Data is 701, 516, 24, 504
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 701 is 701
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
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(701, 516) = 361716
GCD(701, 516) = ( 701 x 516 ) / 361716
GCD(701, 516) = 361716 / 361716
GCD(701, 516) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 504
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
GCD(1, 504) = 504 / 504
GCD(1, 504) = 1
GCD of 701, 516, 24, 504 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 701, 516, 24, 504?
GCD of 701, 516, 24, 504 is 1
2. Where do I get the detailed procedure to find GCD of 701, 516, 24, 504?
You can find a detailed procedure to find GCD of 701, 516, 24, 504 on our page.
3. How to find GCD of 701, 516, 24, 504 on a calculator?
You can find the GCD of 701, 516, 24, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.