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 463, 182, 71, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 182, 71, 771 is 1
GCD(463, 182, 71, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 182, 71, 771 is 1
GCD(463, 182, 71, 771) = 1
Given Input numbers are 463, 182, 71, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 463, 182, 71, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 182, 71, 771 is 1.
Therefore, GCD of numbers 463, 182, 71, 771 is 1
Given Input Data is 463, 182, 71, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 71 is 71
Prime Factorization of 771 is 3 x 257
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(463, 182) = 84266
GCD(463, 182) = ( 463 x 182 ) / 84266
GCD(463, 182) = 84266 / 84266
GCD(463, 182) = 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 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 463, 182, 71, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 182, 71, 771?
GCD of 463, 182, 71, 771 is 1
2. Where do I get the detailed procedure to find GCD of 463, 182, 71, 771?
You can find a detailed procedure to find GCD of 463, 182, 71, 771 on our page.
3. How to find GCD of 463, 182, 71, 771 on a calculator?
You can find the GCD of 463, 182, 71, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.