GCD of 113, 537, 272, 269 Calculator

Given Input numbers are 113, 537, 272, 269

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 269

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

1, 269

Greatest Common Divisior

We found the divisors of 113, 537, 272, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 537, 272, 269 is 1.

Therefore, GCD of numbers 113, 537, 272, 269 is 1

Given Input Data is 113, 537, 272, 269

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

Prime Factorization of 113 is 113

Prime Factorization of 537 is 3 x 179

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 269 is 269

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(113, 537) = 60681

GCD(113, 537) = ( 113 x 537 ) / 60681

GCD(113, 537) = 60681 / 60681

GCD(113, 537) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 113, 537, 272, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 870, 235, 194
• GCD of 549, 498, 278, 226
• GCD of 324, 967, 552, 876
• GCD of 969, 281, 347, 894
• GCD of 226, 989, 464, 786

1. What is the GCD of 113, 537, 272, 269?

GCD of 113, 537, 272, 269 is 1

2. Where do I get the detailed procedure to find GCD of 113, 537, 272, 269?

You can find a detailed procedure to find GCD of 113, 537, 272, 269 on our page.

3. How to find GCD of 113, 537, 272, 269 on a calculator?

You can find the GCD of 113, 537, 272, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.