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 713, 879, 99, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 879, 99, 253 is 1
GCD(713, 879, 99, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 879, 99, 253 is 1
GCD(713, 879, 99, 253) = 1
Given Input numbers are 713, 879, 99, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 713, 879, 99, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 879, 99, 253 is 1.
Therefore, GCD of numbers 713, 879, 99, 253 is 1
Given Input Data is 713, 879, 99, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 879 is 3 x 293
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 253 is 11 x 23
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(713, 879) = 626727
GCD(713, 879) = ( 713 x 879 ) / 626727
GCD(713, 879) = 626727 / 626727
GCD(713, 879) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 713, 879, 99, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 879, 99, 253?
GCD of 713, 879, 99, 253 is 1
2. Where do I get the detailed procedure to find GCD of 713, 879, 99, 253?
You can find a detailed procedure to find GCD of 713, 879, 99, 253 on our page.
3. How to find GCD of 713, 879, 99, 253 on a calculator?
You can find the GCD of 713, 879, 99, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.