GCD of 145, 261, 998 Calculator

Given Input numbers are 145, 261, 998

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

Divisors of 145

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

1, 5, 29, 145

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 145, 261, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 261, 998 is 1.

Therefore, GCD of numbers 145, 261, 998 is 1

Given Input Data is 145, 261, 998

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 998 is 2 x 499

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(145, 261) = 1305

GCD(145, 261) = ( 145 x 261 ) / 1305

GCD(145, 261) = 37845 / 1305

GCD(145, 261) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 998

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

LCM(29, 998) = 28942

GCD(29, 998) = ( 29 x 998 ) / 28942

GCD(29, 998) = 28942 / 28942

GCD(29, 998) = 1

GCD of 145, 261, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 781, 406
• GCD of 621, 387, 562
• GCD of 452, 217, 519
• GCD of 934, 860, 832
• GCD of 362, 304, 189

1. What is the GCD of 145, 261, 998?

GCD of 145, 261, 998 is 1

2. Where do I get the detailed procedure to find GCD of 145, 261, 998?

You can find a detailed procedure to find GCD of 145, 261, 998 on our page.

3. How to find GCD of 145, 261, 998 on a calculator?

You can find the GCD of 145, 261, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.