GCD of 84, 102, 296, 973 Calculator

Given Input numbers are 84, 102, 296, 973

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 84, 102, 296, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 102, 296, 973 is 1.

Therefore, GCD of numbers 84, 102, 296, 973 is 1

Given Input Data is 84, 102, 296, 973

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 973 is 7 x 139

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(84, 102) = 1428

GCD(84, 102) = ( 84 x 102 ) / 1428

GCD(84, 102) = 8568 / 1428

GCD(84, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 296

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

LCM(6, 296) = 888

GCD(6, 296) = ( 6 x 296 ) / 888

GCD(6, 296) = 1776 / 888

GCD(6, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 973

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

LCM(2, 973) = 1946

GCD(2, 973) = ( 2 x 973 ) / 1946

GCD(2, 973) = 1946 / 1946

GCD(2, 973) = 1

GCD of 84, 102, 296, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 614, 610, 898
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• GCD of 14, 888, 925, 943

1. What is the GCD of 84, 102, 296, 973?

GCD of 84, 102, 296, 973 is 1

2. Where do I get the detailed procedure to find GCD of 84, 102, 296, 973?

You can find a detailed procedure to find GCD of 84, 102, 296, 973 on our page.

3. How to find GCD of 84, 102, 296, 973 on a calculator?

You can find the GCD of 84, 102, 296, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.