GCD of 996, 258, 145, 697 Calculator

Given Input numbers are 996, 258, 145, 697

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

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 697

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

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 996, 258, 145, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 258, 145, 697 is 1.

Therefore, GCD of numbers 996, 258, 145, 697 is 1

Given Input Data is 996, 258, 145, 697

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

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 145 is 5 x 29

Prime Factorization of 697 is 17 x 41

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(996, 258) = 42828

GCD(996, 258) = ( 996 x 258 ) / 42828

GCD(996, 258) = 256968 / 42828

GCD(996, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 145

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

LCM(6, 145) = 870

GCD(6, 145) = ( 6 x 145 ) / 870

GCD(6, 145) = 870 / 870

GCD(6, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 996, 258, 145, 697 is 1

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1. What is the GCD of 996, 258, 145, 697?

GCD of 996, 258, 145, 697 is 1

2. Where do I get the detailed procedure to find GCD of 996, 258, 145, 697?

You can find a detailed procedure to find GCD of 996, 258, 145, 697 on our page.

3. How to find GCD of 996, 258, 145, 697 on a calculator?

You can find the GCD of 996, 258, 145, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.