GCD of 873, 537, 69, 196 Calculator

Given Input numbers are 873, 537, 69, 196

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 69

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

1, 3, 23, 69

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 873, 537, 69, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 537, 69, 196 is 1.

Therefore, GCD of numbers 873, 537, 69, 196 is 1

Given Input Data is 873, 537, 69, 196

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 537 is 3 x 179

Prime Factorization of 69 is 3 x 23

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(873, 537) = 156267

GCD(873, 537) = ( 873 x 537 ) / 156267

GCD(873, 537) = 468801 / 156267

GCD(873, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 196

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

LCM(3, 196) = 588

GCD(3, 196) = ( 3 x 196 ) / 588

GCD(3, 196) = 588 / 588

GCD(3, 196) = 1

GCD of 873, 537, 69, 196 is 1

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1. What is the GCD of 873, 537, 69, 196?

GCD of 873, 537, 69, 196 is 1

2. Where do I get the detailed procedure to find GCD of 873, 537, 69, 196?

You can find a detailed procedure to find GCD of 873, 537, 69, 196 on our page.

3. How to find GCD of 873, 537, 69, 196 on a calculator?

You can find the GCD of 873, 537, 69, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.