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 832, 822, 61, 710 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 822, 61, 710 is 1
GCD(832, 822, 61, 710) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 822, 61, 710 is 1
GCD(832, 822, 61, 710) = 1
Given Input numbers are 832, 822, 61, 710
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 832, 822, 61, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 822, 61, 710 is 1.
Therefore, GCD of numbers 832, 822, 61, 710 is 1
Given Input Data is 832, 822, 61, 710
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 61 is 61
Prime Factorization of 710 is 2 x 5 x 71
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(832, 822) = 341952
GCD(832, 822) = ( 832 x 822 ) / 341952
GCD(832, 822) = 683904 / 341952
GCD(832, 822) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
GCD of 832, 822, 61, 710 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 822, 61, 710?
GCD of 832, 822, 61, 710 is 1
2. Where do I get the detailed procedure to find GCD of 832, 822, 61, 710?
You can find a detailed procedure to find GCD of 832, 822, 61, 710 on our page.
3. How to find GCD of 832, 822, 61, 710 on a calculator?
You can find the GCD of 832, 822, 61, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.