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, 821, 446, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 821, 446, 765 is 1
GCD(513, 821, 446, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 821, 446, 765 is 1
GCD(513, 821, 446, 765) = 1
Given Input numbers are 513, 821, 446, 765
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 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 513, 821, 446, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 821, 446, 765 is 1.
Therefore, GCD of numbers 513, 821, 446, 765 is 1
Given Input Data is 513, 821, 446, 765
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 821 is 821
Prime Factorization of 446 is 2 x 223
Prime Factorization of 765 is 3 x 3 x 5 x 17
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, 821) = 421173
GCD(513, 821) = ( 513 x 821 ) / 421173
GCD(513, 821) = 421173 / 421173
GCD(513, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 513, 821, 446, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 821, 446, 765?
GCD of 513, 821, 446, 765 is 1
2. Where do I get the detailed procedure to find GCD of 513, 821, 446, 765?
You can find a detailed procedure to find GCD of 513, 821, 446, 765 on our page.
3. How to find GCD of 513, 821, 446, 765 on a calculator?
You can find the GCD of 513, 821, 446, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.