GCD of 196, 125, 81, 494 Calculator

Given Input numbers are 196, 125, 81, 494

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

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 196, 125, 81, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 125, 81, 494 is 1.

Therefore, GCD of numbers 196, 125, 81, 494 is 1

Given Input Data is 196, 125, 81, 494

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

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 494 is 2 x 13 x 19

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(196, 125) = 24500

GCD(196, 125) = ( 196 x 125 ) / 24500

GCD(196, 125) = 24500 / 24500

GCD(196, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 196, 125, 81, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 698, 53, 913
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• GCD of 839, 926, 69, 902

1. What is the GCD of 196, 125, 81, 494?

GCD of 196, 125, 81, 494 is 1

2. Where do I get the detailed procedure to find GCD of 196, 125, 81, 494?

You can find a detailed procedure to find GCD of 196, 125, 81, 494 on our page.

3. How to find GCD of 196, 125, 81, 494 on a calculator?

You can find the GCD of 196, 125, 81, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.