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 513, 685, 511, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 685, 511, 407 is 1
GCD(513, 685, 511, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 685, 511, 407 is 1
GCD(513, 685, 511, 407) = 1
Given Input numbers are 513, 685, 511, 407
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 513, 685, 511, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 685, 511, 407 is 1.
Therefore, GCD of numbers 513, 685, 511, 407 is 1
Given Input Data is 513, 685, 511, 407
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 685 is 5 x 137
Prime Factorization of 511 is 7 x 73
Prime Factorization of 407 is 11 x 37
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(513, 685) = 351405
GCD(513, 685) = ( 513 x 685 ) / 351405
GCD(513, 685) = 351405 / 351405
GCD(513, 685) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 511) = 511
GCD(1, 511) = ( 1 x 511 ) / 511
GCD(1, 511) = 511 / 511
GCD(1, 511) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 407) = 407
GCD(1, 407) = ( 1 x 407 ) / 407
GCD(1, 407) = 407 / 407
GCD(1, 407) = 1
GCD of 513, 685, 511, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 685, 511, 407?
GCD of 513, 685, 511, 407 is 1
2. Where do I get the detailed procedure to find GCD of 513, 685, 511, 407?
You can find a detailed procedure to find GCD of 513, 685, 511, 407 on our page.
3. How to find GCD of 513, 685, 511, 407 on a calculator?
You can find the GCD of 513, 685, 511, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.