GCD of 269, 786, 36, 998 Calculator

Given Input numbers are 269, 786, 36, 998

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 269, 786, 36, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 786, 36, 998 is 1.

Therefore, GCD of numbers 269, 786, 36, 998 is 1

Given Input Data is 269, 786, 36, 998

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

Prime Factorization of 269 is 269

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(269, 786) = 211434

GCD(269, 786) = ( 269 x 786 ) / 211434

GCD(269, 786) = 211434 / 211434

GCD(269, 786) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

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

GCD of 269, 786, 36, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 171, 74, 166
• GCD of 736, 821, 23, 718
• GCD of 122, 277, 16, 449
• GCD of 887, 747, 11, 839
• GCD of 200, 942, 73, 482

1. What is the GCD of 269, 786, 36, 998?

GCD of 269, 786, 36, 998 is 1

2. Where do I get the detailed procedure to find GCD of 269, 786, 36, 998?

You can find a detailed procedure to find GCD of 269, 786, 36, 998 on our page.

3. How to find GCD of 269, 786, 36, 998 on a calculator?

You can find the GCD of 269, 786, 36, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.