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 88, 82, 69, 97 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 82, 69, 97 is 1
GCD(88, 82, 69, 97) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 82, 69, 97 is 1
GCD(88, 82, 69, 97) = 1
Given Input numbers are 88, 82, 69, 97
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Greatest Common Divisior
We found the divisors of 88, 82, 69, 97 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 82, 69, 97 is 1.
Therefore, GCD of numbers 88, 82, 69, 97 is 1
Given Input Data is 88, 82, 69, 97
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 82 is 2 x 41
Prime Factorization of 69 is 3 x 23
Prime Factorization of 97 is 97
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(88, 82) = 3608
GCD(88, 82) = ( 88 x 82 ) / 3608
GCD(88, 82) = 7216 / 3608
GCD(88, 82) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
GCD of 88, 82, 69, 97 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 82, 69, 97?
GCD of 88, 82, 69, 97 is 1
2. Where do I get the detailed procedure to find GCD of 88, 82, 69, 97?
You can find a detailed procedure to find GCD of 88, 82, 69, 97 on our page.
3. How to find GCD of 88, 82, 69, 97 on a calculator?
You can find the GCD of 88, 82, 69, 97 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.