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 461, 319, 814, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 461, 319, 814, 341 is 1
GCD(461, 319, 814, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 461, 319, 814, 341 is 1
GCD(461, 319, 814, 341) = 1
Given Input numbers are 461, 319, 814, 341
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 461, 319, 814, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 319, 814, 341 is 1.
Therefore, GCD of numbers 461, 319, 814, 341 is 1
Given Input Data is 461, 319, 814, 341
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 461 is 461
Prime Factorization of 319 is 11 x 29
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 341 is 11 x 31
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(461, 319) = 147059
GCD(461, 319) = ( 461 x 319 ) / 147059
GCD(461, 319) = 147059 / 147059
GCD(461, 319) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
GCD of 461, 319, 814, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 461, 319, 814, 341?
GCD of 461, 319, 814, 341 is 1
2. Where do I get the detailed procedure to find GCD of 461, 319, 814, 341?
You can find a detailed procedure to find GCD of 461, 319, 814, 341 on our page.
3. How to find GCD of 461, 319, 814, 341 on a calculator?
You can find the GCD of 461, 319, 814, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.