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 313, 137, 869, 219 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 137, 869, 219 is 1
GCD(313, 137, 869, 219) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 137, 869, 219 is 1
GCD(313, 137, 869, 219) = 1
Given Input numbers are 313, 137, 869, 219
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Greatest Common Divisior
We found the divisors of 313, 137, 869, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 137, 869, 219 is 1.
Therefore, GCD of numbers 313, 137, 869, 219 is 1
Given Input Data is 313, 137, 869, 219
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 137 is 137
Prime Factorization of 869 is 11 x 79
Prime Factorization of 219 is 3 x 73
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(313, 137) = 42881
GCD(313, 137) = ( 313 x 137 ) / 42881
GCD(313, 137) = 42881 / 42881
GCD(313, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 869
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 869) = 869
GCD(1, 869) = ( 1 x 869 ) / 869
GCD(1, 869) = 869 / 869
GCD(1, 869) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 219
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 219) = 219
GCD(1, 219) = ( 1 x 219 ) / 219
GCD(1, 219) = 219 / 219
GCD(1, 219) = 1
GCD of 313, 137, 869, 219 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 137, 869, 219?
GCD of 313, 137, 869, 219 is 1
2. Where do I get the detailed procedure to find GCD of 313, 137, 869, 219?
You can find a detailed procedure to find GCD of 313, 137, 869, 219 on our page.
3. How to find GCD of 313, 137, 869, 219 on a calculator?
You can find the GCD of 313, 137, 869, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.