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 858, 920, 602, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 858, 920, 602, 791 is 1
GCD(858, 920, 602, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 920, 602, 791 is 1
GCD(858, 920, 602, 791) = 1
Given Input numbers are 858, 920, 602, 791
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 858, 920, 602, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 920, 602, 791 is 1.
Therefore, GCD of numbers 858, 920, 602, 791 is 1
Given Input Data is 858, 920, 602, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 791 is 7 x 113
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(858, 920) = 394680
GCD(858, 920) = ( 858 x 920 ) / 394680
GCD(858, 920) = 789360 / 394680
GCD(858, 920) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 602) = 602
GCD(2, 602) = ( 2 x 602 ) / 602
GCD(2, 602) = 1204 / 602
GCD(2, 602) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 791) = 1582
GCD(2, 791) = ( 2 x 791 ) / 1582
GCD(2, 791) = 1582 / 1582
GCD(2, 791) = 1
GCD of 858, 920, 602, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 920, 602, 791?
GCD of 858, 920, 602, 791 is 1
2. Where do I get the detailed procedure to find GCD of 858, 920, 602, 791?
You can find a detailed procedure to find GCD of 858, 920, 602, 791 on our page.
3. How to find GCD of 858, 920, 602, 791 on a calculator?
You can find the GCD of 858, 920, 602, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.