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 139, 861, 768, 409 i.e. 1 largest integer that divides all the numbers equally.
GCD of 139, 861, 768, 409 is 1
GCD(139, 861, 768, 409) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 139, 861, 768, 409 is 1
GCD(139, 861, 768, 409) = 1
Given Input numbers are 139, 861, 768, 409
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
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 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Greatest Common Divisior
We found the divisors of 139, 861, 768, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 861, 768, 409 is 1.
Therefore, GCD of numbers 139, 861, 768, 409 is 1
Given Input Data is 139, 861, 768, 409
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 139 is 139
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 409 is 409
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(139, 861) = 119679
GCD(139, 861) = ( 139 x 861 ) / 119679
GCD(139, 861) = 119679 / 119679
GCD(139, 861) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 409) = 409
GCD(1, 409) = ( 1 x 409 ) / 409
GCD(1, 409) = 409 / 409
GCD(1, 409) = 1
GCD of 139, 861, 768, 409 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 139, 861, 768, 409?
GCD of 139, 861, 768, 409 is 1
2. Where do I get the detailed procedure to find GCD of 139, 861, 768, 409?
You can find a detailed procedure to find GCD of 139, 861, 768, 409 on our page.
3. How to find GCD of 139, 861, 768, 409 on a calculator?
You can find the GCD of 139, 861, 768, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.