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 71, 99, 72, 79 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 99, 72, 79 is 1
GCD(71, 99, 72, 79) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 99, 72, 79 is 1
GCD(71, 99, 72, 79) = 1
Given Input numbers are 71, 99, 72, 79
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Greatest Common Divisior
We found the divisors of 71, 99, 72, 79 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 99, 72, 79 is 1.
Therefore, GCD of numbers 71, 99, 72, 79 is 1
Given Input Data is 71, 99, 72, 79
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 79 is 79
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(71, 99) = 7029
GCD(71, 99) = ( 71 x 99 ) / 7029
GCD(71, 99) = 7029 / 7029
GCD(71, 99) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 79) = 79
GCD(1, 79) = ( 1 x 79 ) / 79
GCD(1, 79) = 79 / 79
GCD(1, 79) = 1
GCD of 71, 99, 72, 79 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 99, 72, 79?
GCD of 71, 99, 72, 79 is 1
2. Where do I get the detailed procedure to find GCD of 71, 99, 72, 79?
You can find a detailed procedure to find GCD of 71, 99, 72, 79 on our page.
3. How to find GCD of 71, 99, 72, 79 on a calculator?
You can find the GCD of 71, 99, 72, 79 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.