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, 766, 607, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 766, 607, 298 is 1
GCD(518, 766, 607, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 766, 607, 298 is 1
GCD(518, 766, 607, 298) = 1
Given Input numbers are 518, 766, 607, 298
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 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 518, 766, 607, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 766, 607, 298 is 1.
Therefore, GCD of numbers 518, 766, 607, 298 is 1
Given Input Data is 518, 766, 607, 298
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 766 is 2 x 383
Prime Factorization of 607 is 607
Prime Factorization of 298 is 2 x 149
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, 766) = 198394
GCD(518, 766) = ( 518 x 766 ) / 198394
GCD(518, 766) = 396788 / 198394
GCD(518, 766) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 607) = 1214
GCD(2, 607) = ( 2 x 607 ) / 1214
GCD(2, 607) = 1214 / 1214
GCD(2, 607) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
GCD(1, 298) = 298 / 298
GCD(1, 298) = 1
GCD of 518, 766, 607, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 766, 607, 298?
GCD of 518, 766, 607, 298 is 1
2. Where do I get the detailed procedure to find GCD of 518, 766, 607, 298?
You can find a detailed procedure to find GCD of 518, 766, 607, 298 on our page.
3. How to find GCD of 518, 766, 607, 298 on a calculator?
You can find the GCD of 518, 766, 607, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.