GCD of 194, 524, 69, 973 Calculator

Given Input numbers are 194, 524, 69, 973

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 194, 524, 69, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 524, 69, 973 is 1.

Therefore, GCD of numbers 194, 524, 69, 973 is 1

Given Input Data is 194, 524, 69, 973

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 69 is 3 x 23

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(194, 524) = 50828

GCD(194, 524) = ( 194 x 524 ) / 50828

GCD(194, 524) = 101656 / 50828

GCD(194, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 194, 524, 69, 973 is 1

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1. What is the GCD of 194, 524, 69, 973?

GCD of 194, 524, 69, 973 is 1

2. Where do I get the detailed procedure to find GCD of 194, 524, 69, 973?

You can find a detailed procedure to find GCD of 194, 524, 69, 973 on our page.

3. How to find GCD of 194, 524, 69, 973 on a calculator?

You can find the GCD of 194, 524, 69, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.