GCD of 492, 996, 697, 136 Calculator

Given Input numbers are 492, 996, 697, 136

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 492, 996, 697, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 996, 697, 136 is 1.

Therefore, GCD of numbers 492, 996, 697, 136 is 1

Given Input Data is 492, 996, 697, 136

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 697 is 17 x 41

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(492, 996) = 40836

GCD(492, 996) = ( 492 x 996 ) / 40836

GCD(492, 996) = 490032 / 40836

GCD(492, 996) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 697

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

LCM(12, 697) = 8364

GCD(12, 697) = ( 12 x 697 ) / 8364

GCD(12, 697) = 8364 / 8364

GCD(12, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 492, 996, 697, 136 is 1

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1. What is the GCD of 492, 996, 697, 136?

GCD of 492, 996, 697, 136 is 1

2. Where do I get the detailed procedure to find GCD of 492, 996, 697, 136?

You can find a detailed procedure to find GCD of 492, 996, 697, 136 on our page.

3. How to find GCD of 492, 996, 697, 136 on a calculator?

You can find the GCD of 492, 996, 697, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.