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 82, 931, 810, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 931, 810, 762 is 1
GCD(82, 931, 810, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 931, 810, 762 is 1
GCD(82, 931, 810, 762) = 1
Given Input numbers are 82, 931, 810, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 82, 931, 810, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 931, 810, 762 is 1.
Therefore, GCD of numbers 82, 931, 810, 762 is 1
Given Input Data is 82, 931, 810, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 762 is 2 x 3 x 127
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(82, 931) = 76342
GCD(82, 931) = ( 82 x 931 ) / 76342
GCD(82, 931) = 76342 / 76342
GCD(82, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 82, 931, 810, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 931, 810, 762?
GCD of 82, 931, 810, 762 is 1
2. Where do I get the detailed procedure to find GCD of 82, 931, 810, 762?
You can find a detailed procedure to find GCD of 82, 931, 810, 762 on our page.
3. How to find GCD of 82, 931, 810, 762 on a calculator?
You can find the GCD of 82, 931, 810, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.