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 10, 513, 965, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 513, 965, 681 is 1
GCD(10, 513, 965, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 513, 965, 681 is 1
GCD(10, 513, 965, 681) = 1
Given Input numbers are 10, 513, 965, 681
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
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 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 10, 513, 965, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 513, 965, 681 is 1.
Therefore, GCD of numbers 10, 513, 965, 681 is 1
Given Input Data is 10, 513, 965, 681
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 965 is 5 x 193
Prime Factorization of 681 is 3 x 227
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(10, 513) = 5130
GCD(10, 513) = ( 10 x 513 ) / 5130
GCD(10, 513) = 5130 / 5130
GCD(10, 513) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
GCD of 10, 513, 965, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 513, 965, 681?
GCD of 10, 513, 965, 681 is 1
2. Where do I get the detailed procedure to find GCD of 10, 513, 965, 681?
You can find a detailed procedure to find GCD of 10, 513, 965, 681 on our page.
3. How to find GCD of 10, 513, 965, 681 on a calculator?
You can find the GCD of 10, 513, 965, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.