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 128, 861, 69 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 861, 69 is 1
GCD(128, 861, 69) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 861, 69 is 1
GCD(128, 861, 69) = 1
Given Input numbers are 128, 861, 69
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Greatest Common Divisior
We found the divisors of 128, 861, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 861, 69 is 1.
Therefore, GCD of numbers 128, 861, 69 is 1
Given Input Data is 128, 861, 69
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 69 is 3 x 23
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(128, 861) = 110208
GCD(128, 861) = ( 128 x 861 ) / 110208
GCD(128, 861) = 110208 / 110208
GCD(128, 861) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
GCD of 128, 861, 69 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 861, 69?
GCD of 128, 861, 69 is 1
2. Where do I get the detailed procedure to find GCD of 128, 861, 69?
You can find a detailed procedure to find GCD of 128, 861, 69 on our page.
3. How to find GCD of 128, 861, 69 on a calculator?
You can find the GCD of 128, 861, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.