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 810, 957, 963, 477 i.e. 3 largest integer that divides all the numbers equally.
GCD of 810, 957, 963, 477 is 3
GCD(810, 957, 963, 477) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 957, 963, 477 is 3
GCD(810, 957, 963, 477) = 3
Given Input numbers are 810, 957, 963, 477
To find the GCD of numbers using factoring list out all the divisors of each number
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 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 810, 957, 963, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 957, 963, 477 is 3.
Therefore, GCD of numbers 810, 957, 963, 477 is 3
Given Input Data is 810, 957, 963, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 477 is 3 x 3 x 53
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(810, 957) = 258390
GCD(810, 957) = ( 810 x 957 ) / 258390
GCD(810, 957) = 775170 / 258390
GCD(810, 957) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 963) = 963
GCD(3, 963) = ( 3 x 963 ) / 963
GCD(3, 963) = 2889 / 963
GCD(3, 963) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
GCD(3, 477) = 1431 / 477
GCD(3, 477) = 3
GCD of 810, 957, 963, 477 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 957, 963, 477?
GCD of 810, 957, 963, 477 is 3
2. Where do I get the detailed procedure to find GCD of 810, 957, 963, 477?
You can find a detailed procedure to find GCD of 810, 957, 963, 477 on our page.
3. How to find GCD of 810, 957, 963, 477 on a calculator?
You can find the GCD of 810, 957, 963, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.