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 518, 646, 77, 266 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 646, 77, 266 is 1
GCD(518, 646, 77, 266) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 646, 77, 266 is 1
GCD(518, 646, 77, 266) = 1
Given Input numbers are 518, 646, 77, 266
To find the GCD of numbers using factoring list out all the divisors of each number
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 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 518, 646, 77, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 646, 77, 266 is 1.
Therefore, GCD of numbers 518, 646, 77, 266 is 1
Given Input Data is 518, 646, 77, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 77 is 7 x 11
Prime Factorization of 266 is 2 x 7 x 19
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(518, 646) = 167314
GCD(518, 646) = ( 518 x 646 ) / 167314
GCD(518, 646) = 334628 / 167314
GCD(518, 646) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
GCD of 518, 646, 77, 266 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 646, 77, 266?
GCD of 518, 646, 77, 266 is 1
2. Where do I get the detailed procedure to find GCD of 518, 646, 77, 266?
You can find a detailed procedure to find GCD of 518, 646, 77, 266 on our page.
3. How to find GCD of 518, 646, 77, 266 on a calculator?
You can find the GCD of 518, 646, 77, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.