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 353, 136, 10, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 353, 136, 10, 867 is 1
GCD(353, 136, 10, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 353, 136, 10, 867 is 1
GCD(353, 136, 10, 867) = 1
Given Input numbers are 353, 136, 10, 867
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 353, 136, 10, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 136, 10, 867 is 1.
Therefore, GCD of numbers 353, 136, 10, 867 is 1
Given Input Data is 353, 136, 10, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 353 is 353
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 10 is 2 x 5
Prime Factorization of 867 is 3 x 17 x 17
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(353, 136) = 48008
GCD(353, 136) = ( 353 x 136 ) / 48008
GCD(353, 136) = 48008 / 48008
GCD(353, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
GCD of 353, 136, 10, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 353, 136, 10, 867?
GCD of 353, 136, 10, 867 is 1
2. Where do I get the detailed procedure to find GCD of 353, 136, 10, 867?
You can find a detailed procedure to find GCD of 353, 136, 10, 867 on our page.
3. How to find GCD of 353, 136, 10, 867 on a calculator?
You can find the GCD of 353, 136, 10, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.