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 514, 358, 20, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 514, 358, 20, 411 is 1
GCD(514, 358, 20, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 514, 358, 20, 411 is 1
GCD(514, 358, 20, 411) = 1
Given Input numbers are 514, 358, 20, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 514, 358, 20, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 358, 20, 411 is 1.
Therefore, GCD of numbers 514, 358, 20, 411 is 1
Given Input Data is 514, 358, 20, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 514 is 2 x 257
Prime Factorization of 358 is 2 x 179
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 411 is 3 x 137
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(514, 358) = 92006
GCD(514, 358) = ( 514 x 358 ) / 92006
GCD(514, 358) = 184012 / 92006
GCD(514, 358) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 411) = 822
GCD(2, 411) = ( 2 x 411 ) / 822
GCD(2, 411) = 822 / 822
GCD(2, 411) = 1
GCD of 514, 358, 20, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 514, 358, 20, 411?
GCD of 514, 358, 20, 411 is 1
2. Where do I get the detailed procedure to find GCD of 514, 358, 20, 411?
You can find a detailed procedure to find GCD of 514, 358, 20, 411 on our page.
3. How to find GCD of 514, 358, 20, 411 on a calculator?
You can find the GCD of 514, 358, 20, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.