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 822, 781, 14, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 781, 14, 146 is 1
GCD(822, 781, 14, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 781, 14, 146 is 1
GCD(822, 781, 14, 146) = 1
Given Input numbers are 822, 781, 14, 146
To find the GCD of numbers using factoring list out all the divisors of each number
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 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 822, 781, 14, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 781, 14, 146 is 1.
Therefore, GCD of numbers 822, 781, 14, 146 is 1
Given Input Data is 822, 781, 14, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 781 is 11 x 71
Prime Factorization of 14 is 2 x 7
Prime Factorization of 146 is 2 x 73
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(822, 781) = 641982
GCD(822, 781) = ( 822 x 781 ) / 641982
GCD(822, 781) = 641982 / 641982
GCD(822, 781) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 822, 781, 14, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 781, 14, 146?
GCD of 822, 781, 14, 146 is 1
2. Where do I get the detailed procedure to find GCD of 822, 781, 14, 146?
You can find a detailed procedure to find GCD of 822, 781, 14, 146 on our page.
3. How to find GCD of 822, 781, 14, 146 on a calculator?
You can find the GCD of 822, 781, 14, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.