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 495, 620, 77, 819 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 620, 77, 819 is 1
GCD(495, 620, 77, 819) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 620, 77, 819 is 1
GCD(495, 620, 77, 819) = 1
Given Input numbers are 495, 620, 77, 819
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Greatest Common Divisior
We found the divisors of 495, 620, 77, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 620, 77, 819 is 1.
Therefore, GCD of numbers 495, 620, 77, 819 is 1
Given Input Data is 495, 620, 77, 819
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 77 is 7 x 11
Prime Factorization of 819 is 3 x 3 x 7 x 13
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(495, 620) = 61380
GCD(495, 620) = ( 495 x 620 ) / 61380
GCD(495, 620) = 306900 / 61380
GCD(495, 620) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 77) = 385
GCD(5, 77) = ( 5 x 77 ) / 385
GCD(5, 77) = 385 / 385
GCD(5, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 819) = 819
GCD(1, 819) = ( 1 x 819 ) / 819
GCD(1, 819) = 819 / 819
GCD(1, 819) = 1
GCD of 495, 620, 77, 819 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 620, 77, 819?
GCD of 495, 620, 77, 819 is 1
2. Where do I get the detailed procedure to find GCD of 495, 620, 77, 819?
You can find a detailed procedure to find GCD of 495, 620, 77, 819 on our page.
3. How to find GCD of 495, 620, 77, 819 on a calculator?
You can find the GCD of 495, 620, 77, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.