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 776, 518, 495, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 776, 518, 495, 748 is 1
GCD(776, 518, 495, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 776, 518, 495, 748 is 1
GCD(776, 518, 495, 748) = 1
Given Input numbers are 776, 518, 495, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
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 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 776, 518, 495, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 518, 495, 748 is 1.
Therefore, GCD of numbers 776, 518, 495, 748 is 1
Given Input Data is 776, 518, 495, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(776, 518) = 200984
GCD(776, 518) = ( 776 x 518 ) / 200984
GCD(776, 518) = 401968 / 200984
GCD(776, 518) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 495) = 990
GCD(2, 495) = ( 2 x 495 ) / 990
GCD(2, 495) = 990 / 990
GCD(2, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 776, 518, 495, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 776, 518, 495, 748?
GCD of 776, 518, 495, 748 is 1
2. Where do I get the detailed procedure to find GCD of 776, 518, 495, 748?
You can find a detailed procedure to find GCD of 776, 518, 495, 748 on our page.
3. How to find GCD of 776, 518, 495, 748 on a calculator?
You can find the GCD of 776, 518, 495, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.