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 264, 658, 998, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 658, 998, 779 is 1
GCD(264, 658, 998, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 658, 998, 779 is 1
GCD(264, 658, 998, 779) = 1
Given Input numbers are 264, 658, 998, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 264, 658, 998, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 658, 998, 779 is 1.
Therefore, GCD of numbers 264, 658, 998, 779 is 1
Given Input Data is 264, 658, 998, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 998 is 2 x 499
Prime Factorization of 779 is 19 x 41
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(264, 658) = 86856
GCD(264, 658) = ( 264 x 658 ) / 86856
GCD(264, 658) = 173712 / 86856
GCD(264, 658) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
GCD(2, 998) = 1996 / 998
GCD(2, 998) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 779) = 1558
GCD(2, 779) = ( 2 x 779 ) / 1558
GCD(2, 779) = 1558 / 1558
GCD(2, 779) = 1
GCD of 264, 658, 998, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 658, 998, 779?
GCD of 264, 658, 998, 779 is 1
2. Where do I get the detailed procedure to find GCD of 264, 658, 998, 779?
You can find a detailed procedure to find GCD of 264, 658, 998, 779 on our page.
3. How to find GCD of 264, 658, 998, 779 on a calculator?
You can find the GCD of 264, 658, 998, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.