GCD of 967, 825, 18, 413 Calculator

Given Input numbers are 967, 825, 18, 413

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 967, 825, 18, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 825, 18, 413 is 1.

Therefore, GCD of numbers 967, 825, 18, 413 is 1

Given Input Data is 967, 825, 18, 413

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

Prime Factorization of 967 is 967

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 413 is 7 x 59

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, 825) = 797775

GCD(967, 825) = ( 967 x 825 ) / 797775

GCD(967, 825) = 797775 / 797775

GCD(967, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 967, 825, 18, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 111, 61, 803
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• GCD of 564, 660, 85, 185
• GCD of 371, 718, 94, 597
• GCD of 752, 456, 57, 471

1. What is the GCD of 967, 825, 18, 413?

GCD of 967, 825, 18, 413 is 1

2. Where do I get the detailed procedure to find GCD of 967, 825, 18, 413?

You can find a detailed procedure to find GCD of 967, 825, 18, 413 on our page.

3. How to find GCD of 967, 825, 18, 413 on a calculator?

You can find the GCD of 967, 825, 18, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.