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, 822, 95, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 822, 95, 364 is 1
GCD(513, 822, 95, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 822, 95, 364 is 1
GCD(513, 822, 95, 364) = 1
Given Input numbers are 513, 822, 95, 364
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 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 513, 822, 95, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 822, 95, 364 is 1.
Therefore, GCD of numbers 513, 822, 95, 364 is 1
Given Input Data is 513, 822, 95, 364
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 822 is 2 x 3 x 137
Prime Factorization of 95 is 5 x 19
Prime Factorization of 364 is 2 x 2 x 7 x 13
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, 822) = 140562
GCD(513, 822) = ( 513 x 822 ) / 140562
GCD(513, 822) = 421686 / 140562
GCD(513, 822) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 95) = 285
GCD(3, 95) = ( 3 x 95 ) / 285
GCD(3, 95) = 285 / 285
GCD(3, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 513, 822, 95, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 822, 95, 364?
GCD of 513, 822, 95, 364 is 1
2. Where do I get the detailed procedure to find GCD of 513, 822, 95, 364?
You can find a detailed procedure to find GCD of 513, 822, 95, 364 on our page.
3. How to find GCD of 513, 822, 95, 364 on a calculator?
You can find the GCD of 513, 822, 95, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.