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 791, 861, 28, 618 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 861, 28, 618 is 1
GCD(791, 861, 28, 618) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 861, 28, 618 is 1
GCD(791, 861, 28, 618) = 1
Given Input numbers are 791, 861, 28, 618
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Greatest Common Divisior
We found the divisors of 791, 861, 28, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 861, 28, 618 is 1.
Therefore, GCD of numbers 791, 861, 28, 618 is 1
Given Input Data is 791, 861, 28, 618
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 618 is 2 x 3 x 103
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(791, 861) = 97293
GCD(791, 861) = ( 791 x 861 ) / 97293
GCD(791, 861) = 681051 / 97293
GCD(791, 861) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 28) = 28
GCD(7, 28) = ( 7 x 28 ) / 28
GCD(7, 28) = 196 / 28
GCD(7, 28) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 618) = 4326
GCD(7, 618) = ( 7 x 618 ) / 4326
GCD(7, 618) = 4326 / 4326
GCD(7, 618) = 1
GCD of 791, 861, 28, 618 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 861, 28, 618?
GCD of 791, 861, 28, 618 is 1
2. Where do I get the detailed procedure to find GCD of 791, 861, 28, 618?
You can find a detailed procedure to find GCD of 791, 861, 28, 618 on our page.
3. How to find GCD of 791, 861, 28, 618 on a calculator?
You can find the GCD of 791, 861, 28, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.