GCD of 261, 998, 146, 438 Calculator

Given Input numbers are 261, 998, 146, 438

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

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 261, 998, 146, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 998, 146, 438 is 1.

Therefore, GCD of numbers 261, 998, 146, 438 is 1

Given Input Data is 261, 998, 146, 438

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 998 is 2 x 499

Prime Factorization of 146 is 2 x 73

Prime Factorization of 438 is 2 x 3 x 73

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(261, 998) = 260478

GCD(261, 998) = ( 261 x 998 ) / 260478

GCD(261, 998) = 260478 / 260478

GCD(261, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 261, 998, 146, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 869, 856, 714
• GCD of 142, 868, 220, 108
• GCD of 846, 929, 934, 391
• GCD of 354, 256, 881, 858
• GCD of 838, 687, 580, 109

1. What is the GCD of 261, 998, 146, 438?

GCD of 261, 998, 146, 438 is 1

2. Where do I get the detailed procedure to find GCD of 261, 998, 146, 438?

You can find a detailed procedure to find GCD of 261, 998, 146, 438 on our page.

3. How to find GCD of 261, 998, 146, 438 on a calculator?

You can find the GCD of 261, 998, 146, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.