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 821, 808, 71, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 808, 71, 945 is 1
GCD(821, 808, 71, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 808, 71, 945 is 1
GCD(821, 808, 71, 945) = 1
Given Input numbers are 821, 808, 71, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 821, 808, 71, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 808, 71, 945 is 1.
Therefore, GCD of numbers 821, 808, 71, 945 is 1
Given Input Data is 821, 808, 71, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 71 is 71
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
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(821, 808) = 663368
GCD(821, 808) = ( 821 x 808 ) / 663368
GCD(821, 808) = 663368 / 663368
GCD(821, 808) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 821, 808, 71, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 808, 71, 945?
GCD of 821, 808, 71, 945 is 1
2. Where do I get the detailed procedure to find GCD of 821, 808, 71, 945?
You can find a detailed procedure to find GCD of 821, 808, 71, 945 on our page.
3. How to find GCD of 821, 808, 71, 945 on a calculator?
You can find the GCD of 821, 808, 71, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.