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 849, 867, 92, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 849, 867, 92, 358 is 1
GCD(849, 867, 92, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 849, 867, 92, 358 is 1
GCD(849, 867, 92, 358) = 1
Given Input numbers are 849, 867, 92, 358
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 849, 867, 92, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 867, 92, 358 is 1.
Therefore, GCD of numbers 849, 867, 92, 358 is 1
Given Input Data is 849, 867, 92, 358
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 849 is 3 x 283
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 358 is 2 x 179
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(849, 867) = 245361
GCD(849, 867) = ( 849 x 867 ) / 245361
GCD(849, 867) = 736083 / 245361
GCD(849, 867) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 92) = 276
GCD(3, 92) = ( 3 x 92 ) / 276
GCD(3, 92) = 276 / 276
GCD(3, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
GCD of 849, 867, 92, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 849, 867, 92, 358?
GCD of 849, 867, 92, 358 is 1
2. Where do I get the detailed procedure to find GCD of 849, 867, 92, 358?
You can find a detailed procedure to find GCD of 849, 867, 92, 358 on our page.
3. How to find GCD of 849, 867, 92, 358 on a calculator?
You can find the GCD of 849, 867, 92, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.