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 913, 616, 510, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 913, 616, 510, 777 is 1
GCD(913, 616, 510, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 913, 616, 510, 777 is 1
GCD(913, 616, 510, 777) = 1
Given Input numbers are 913, 616, 510, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 913, 616, 510, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 616, 510, 777 is 1.
Therefore, GCD of numbers 913, 616, 510, 777 is 1
Given Input Data is 913, 616, 510, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 913 is 11 x 83
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 777 is 3 x 7 x 37
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(913, 616) = 51128
GCD(913, 616) = ( 913 x 616 ) / 51128
GCD(913, 616) = 562408 / 51128
GCD(913, 616) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 510) = 5610
GCD(11, 510) = ( 11 x 510 ) / 5610
GCD(11, 510) = 5610 / 5610
GCD(11, 510) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 913, 616, 510, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 913, 616, 510, 777?
GCD of 913, 616, 510, 777 is 1
2. Where do I get the detailed procedure to find GCD of 913, 616, 510, 777?
You can find a detailed procedure to find GCD of 913, 616, 510, 777 on our page.
3. How to find GCD of 913, 616, 510, 777 on a calculator?
You can find the GCD of 913, 616, 510, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.