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 823, 154, 77, 858 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 154, 77, 858 is 1
GCD(823, 154, 77, 858) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 154, 77, 858 is 1
GCD(823, 154, 77, 858) = 1
Given Input numbers are 823, 154, 77, 858
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
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
Greatest Common Divisior
We found the divisors of 823, 154, 77, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 154, 77, 858 is 1.
Therefore, GCD of numbers 823, 154, 77, 858 is 1
Given Input Data is 823, 154, 77, 858
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 77 is 7 x 11
Prime Factorization of 858 is 2 x 3 x 11 x 13
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(823, 154) = 126742
GCD(823, 154) = ( 823 x 154 ) / 126742
GCD(823, 154) = 126742 / 126742
GCD(823, 154) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
GCD of 823, 154, 77, 858 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 154, 77, 858?
GCD of 823, 154, 77, 858 is 1
2. Where do I get the detailed procedure to find GCD of 823, 154, 77, 858?
You can find a detailed procedure to find GCD of 823, 154, 77, 858 on our page.
3. How to find GCD of 823, 154, 77, 858 on a calculator?
You can find the GCD of 823, 154, 77, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.