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, 425, 13, 967 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 425, 13, 967 is 1
GCD(513, 425, 13, 967) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 425, 13, 967 is 1
GCD(513, 425, 13, 967) = 1
Given Input numbers are 513, 425, 13, 967
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 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Greatest Common Divisior
We found the divisors of 513, 425, 13, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 425, 13, 967 is 1.
Therefore, GCD of numbers 513, 425, 13, 967 is 1
Given Input Data is 513, 425, 13, 967
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 425 is 5 x 5 x 17
Prime Factorization of 13 is 13
Prime Factorization of 967 is 967
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, 425) = 218025
GCD(513, 425) = ( 513 x 425 ) / 218025
GCD(513, 425) = 218025 / 218025
GCD(513, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
GCD of 513, 425, 13, 967 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 425, 13, 967?
GCD of 513, 425, 13, 967 is 1
2. Where do I get the detailed procedure to find GCD of 513, 425, 13, 967?
You can find a detailed procedure to find GCD of 513, 425, 13, 967 on our page.
3. How to find GCD of 513, 425, 13, 967 on a calculator?
You can find the GCD of 513, 425, 13, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.