GCD of 967, 410, 24, 516 Calculator

Given Input numbers are 967, 410, 24, 516

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 967, 410, 24, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 410, 24, 516 is 1.

Therefore, GCD of numbers 967, 410, 24, 516 is 1

Given Input Data is 967, 410, 24, 516

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 967 is 967

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(967, 410) = 396470

GCD(967, 410) = ( 967 x 410 ) / 396470

GCD(967, 410) = 396470 / 396470

GCD(967, 410) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 967, 410, 24, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 977, 85, 297
• GCD of 577, 505, 70, 729
• GCD of 730, 365, 47, 936
• GCD of 584, 241, 53, 721
• GCD of 739, 519, 16, 871

1. What is the GCD of 967, 410, 24, 516?

GCD of 967, 410, 24, 516 is 1

2. Where do I get the detailed procedure to find GCD of 967, 410, 24, 516?

You can find a detailed procedure to find GCD of 967, 410, 24, 516 on our page.

3. How to find GCD of 967, 410, 24, 516 on a calculator?

You can find the GCD of 967, 410, 24, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.