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 867, 707, 11, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 707, 11, 344 is 1
GCD(867, 707, 11, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 707, 11, 344 is 1
GCD(867, 707, 11, 344) = 1
Given Input numbers are 867, 707, 11, 344
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 867, 707, 11, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 707, 11, 344 is 1.
Therefore, GCD of numbers 867, 707, 11, 344 is 1
Given Input Data is 867, 707, 11, 344
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 707 is 7 x 101
Prime Factorization of 11 is 11
Prime Factorization of 344 is 2 x 2 x 2 x 43
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(867, 707) = 612969
GCD(867, 707) = ( 867 x 707 ) / 612969
GCD(867, 707) = 612969 / 612969
GCD(867, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
GCD of 867, 707, 11, 344 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 707, 11, 344?
GCD of 867, 707, 11, 344 is 1
2. Where do I get the detailed procedure to find GCD of 867, 707, 11, 344?
You can find a detailed procedure to find GCD of 867, 707, 11, 344 on our page.
3. How to find GCD of 867, 707, 11, 344 on a calculator?
You can find the GCD of 867, 707, 11, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.