GCD of 185, 969, 998, 253 Calculator

Given Input numbers are 185, 969, 998, 253

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 998

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

1, 2, 499, 998

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 185, 969, 998, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 969, 998, 253 is 1.

Therefore, GCD of numbers 185, 969, 998, 253 is 1

Given Input Data is 185, 969, 998, 253

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 998 is 2 x 499

Prime Factorization of 253 is 11 x 23

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(185, 969) = 179265

GCD(185, 969) = ( 185 x 969 ) / 179265

GCD(185, 969) = 179265 / 179265

GCD(185, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 185, 969, 998, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 535, 415, 188
• GCD of 755, 254, 133, 215
• GCD of 729, 381, 979, 184
• GCD of 973, 586, 204, 228
• GCD of 187, 836, 816, 524

1. What is the GCD of 185, 969, 998, 253?

GCD of 185, 969, 998, 253 is 1

2. Where do I get the detailed procedure to find GCD of 185, 969, 998, 253?

You can find a detailed procedure to find GCD of 185, 969, 998, 253 on our page.

3. How to find GCD of 185, 969, 998, 253 on a calculator?

You can find the GCD of 185, 969, 998, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.