GCD of 263, 979, 13, 144 Calculator

Given Input numbers are 263, 979, 13, 144

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

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 263, 979, 13, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 263, 979, 13, 144 is 1.

Therefore, GCD of numbers 263, 979, 13, 144 is 1

Given Input Data is 263, 979, 13, 144

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

Prime Factorization of 263 is 263

Prime Factorization of 979 is 11 x 89

Prime Factorization of 13 is 13

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(263, 979) = 257477

GCD(263, 979) = ( 263 x 979 ) / 257477

GCD(263, 979) = 257477 / 257477

GCD(263, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 263, 979, 13, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 414, 25, 854
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• GCD of 184, 730, 59, 942
• GCD of 884, 948, 83, 945

1. What is the GCD of 263, 979, 13, 144?

GCD of 263, 979, 13, 144 is 1

2. Where do I get the detailed procedure to find GCD of 263, 979, 13, 144?

You can find a detailed procedure to find GCD of 263, 979, 13, 144 on our page.

3. How to find GCD of 263, 979, 13, 144 on a calculator?

You can find the GCD of 263, 979, 13, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.