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 76, 91, 84, 72 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 91, 84, 72 is 1
GCD(76, 91, 84, 72) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 91, 84, 72 is 1
GCD(76, 91, 84, 72) = 1
Given Input numbers are 76, 91, 84, 72
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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
Greatest Common Divisior
We found the divisors of 76, 91, 84, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 91, 84, 72 is 1.
Therefore, GCD of numbers 76, 91, 84, 72 is 1
Given Input Data is 76, 91, 84, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 91 is 7 x 13
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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(76, 91) = 6916
GCD(76, 91) = ( 76 x 91 ) / 6916
GCD(76, 91) = 6916 / 6916
GCD(76, 91) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
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
GCD of 76, 91, 84, 72 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 91, 84, 72?
GCD of 76, 91, 84, 72 is 1
2. Where do I get the detailed procedure to find GCD of 76, 91, 84, 72?
You can find a detailed procedure to find GCD of 76, 91, 84, 72 on our page.
3. How to find GCD of 76, 91, 84, 72 on a calculator?
You can find the GCD of 76, 91, 84, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.