GCD of 10, 513, 965, 681 Calculator

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

GCD of numbers 10, 513, 965, 681 is 1

GCD(10, 513, 965, 681) = 1

GCD of 10,513,965,681 Calculator

GCDof 10,513,965,681 is 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

Finding GCD of 10, 513, 965, 681 using Prime Factorization

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

Finding GCD of 10, 513, 965, 681 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 10, 513, 965, 681

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.