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 869, 139, 300, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 869, 139, 300, 913 is 1
GCD(869, 139, 300, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 869, 139, 300, 913 is 1
GCD(869, 139, 300, 913) = 1
Given Input numbers are 869, 139, 300, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 869, 139, 300, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 139, 300, 913 is 1.
Therefore, GCD of numbers 869, 139, 300, 913 is 1
Given Input Data is 869, 139, 300, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 869 is 11 x 79
Prime Factorization of 139 is 139
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 913 is 11 x 83
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(869, 139) = 120791
GCD(869, 139) = ( 869 x 139 ) / 120791
GCD(869, 139) = 120791 / 120791
GCD(869, 139) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 869, 139, 300, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 869, 139, 300, 913?
GCD of 869, 139, 300, 913 is 1
2. Where do I get the detailed procedure to find GCD of 869, 139, 300, 913?
You can find a detailed procedure to find GCD of 869, 139, 300, 913 on our page.
3. How to find GCD of 869, 139, 300, 913 on a calculator?
You can find the GCD of 869, 139, 300, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.