GCD of 21, 973, 967, 176 Calculator

Given Input numbers are 21, 973, 967, 176

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 973

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

1, 7, 139, 973

Divisors of 967

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

1, 967

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 21, 973, 967, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 973, 967, 176 is 1.

Therefore, GCD of numbers 21, 973, 967, 176 is 1

Given Input Data is 21, 973, 967, 176

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 973 is 7 x 139

Prime Factorization of 967 is 967

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(21, 973) = 2919

GCD(21, 973) = ( 21 x 973 ) / 2919

GCD(21, 973) = 20433 / 2919

GCD(21, 973) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 967

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

LCM(7, 967) = 6769

GCD(7, 967) = ( 7 x 967 ) / 6769

GCD(7, 967) = 6769 / 6769

GCD(7, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 21, 973, 967, 176 is 1

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1. What is the GCD of 21, 973, 967, 176?

GCD of 21, 973, 967, 176 is 1

2. Where do I get the detailed procedure to find GCD of 21, 973, 967, 176?

You can find a detailed procedure to find GCD of 21, 973, 967, 176 on our page.

3. How to find GCD of 21, 973, 967, 176 on a calculator?

You can find the GCD of 21, 973, 967, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.