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 465, 820, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 820, 776 is 1
GCD(465, 820, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 820, 776 is 1
GCD(465, 820, 776) = 1
Given Input numbers are 465, 820, 776
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 465, 820, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 820, 776 is 1.
Therefore, GCD of numbers 465, 820, 776 is 1
Given Input Data is 465, 820, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 776 is 2 x 2 x 2 x 97
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(465, 820) = 76260
GCD(465, 820) = ( 465 x 820 ) / 76260
GCD(465, 820) = 381300 / 76260
GCD(465, 820) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 776) = 3880
GCD(5, 776) = ( 5 x 776 ) / 3880
GCD(5, 776) = 3880 / 3880
GCD(5, 776) = 1
GCD of 465, 820, 776 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 820, 776?
GCD of 465, 820, 776 is 1
2. Where do I get the detailed procedure to find GCD of 465, 820, 776?
You can find a detailed procedure to find GCD of 465, 820, 776 on our page.
3. How to find GCD of 465, 820, 776 on a calculator?
You can find the GCD of 465, 820, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.