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 754, 133, 82 i.e. 1 largest integer that divides all the numbers equally.
GCD of 754, 133, 82 is 1
GCD(754, 133, 82) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 754, 133, 82 is 1
GCD(754, 133, 82) = 1
Given Input numbers are 754, 133, 82
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Greatest Common Divisior
We found the divisors of 754, 133, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 133, 82 is 1.
Therefore, GCD of numbers 754, 133, 82 is 1
Given Input Data is 754, 133, 82
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 133 is 7 x 19
Prime Factorization of 82 is 2 x 41
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(754, 133) = 100282
GCD(754, 133) = ( 754 x 133 ) / 100282
GCD(754, 133) = 100282 / 100282
GCD(754, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
GCD of 754, 133, 82 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 754, 133, 82?
GCD of 754, 133, 82 is 1
2. Where do I get the detailed procedure to find GCD of 754, 133, 82?
You can find a detailed procedure to find GCD of 754, 133, 82 on our page.
3. How to find GCD of 754, 133, 82 on a calculator?
You can find the GCD of 754, 133, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.