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, 955, 117, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 955, 117, 106 is 1
GCD(867, 955, 117, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 955, 117, 106 is 1
GCD(867, 955, 117, 106) = 1
Given Input numbers are 867, 955, 117, 106
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 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 867, 955, 117, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 955, 117, 106 is 1.
Therefore, GCD of numbers 867, 955, 117, 106 is 1
Given Input Data is 867, 955, 117, 106
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 955 is 5 x 191
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 106 is 2 x 53
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, 955) = 827985
GCD(867, 955) = ( 867 x 955 ) / 827985
GCD(867, 955) = 827985 / 827985
GCD(867, 955) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 867, 955, 117, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 955, 117, 106?
GCD of 867, 955, 117, 106 is 1
2. Where do I get the detailed procedure to find GCD of 867, 955, 117, 106?
You can find a detailed procedure to find GCD of 867, 955, 117, 106 on our page.
3. How to find GCD of 867, 955, 117, 106 on a calculator?
You can find the GCD of 867, 955, 117, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.