GCD of 13, 140, 524, 996 Calculator

Given Input numbers are 13, 140, 524, 996

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

Divisors of 13

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

1, 13

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 13, 140, 524, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 140, 524, 996 is 1.

Therefore, GCD of numbers 13, 140, 524, 996 is 1

Given Input Data is 13, 140, 524, 996

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

Prime Factorization of 13 is 13

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(13, 140) = 1820

GCD(13, 140) = ( 13 x 140 ) / 1820

GCD(13, 140) = 1820 / 1820

GCD(13, 140) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 13, 140, 524, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 127, 622, 526
• GCD of 82, 862, 234, 281
• GCD of 59, 983, 842, 450
• GCD of 48, 399, 841, 340
• GCD of 78, 726, 750, 258

1. What is the GCD of 13, 140, 524, 996?

GCD of 13, 140, 524, 996 is 1

2. Where do I get the detailed procedure to find GCD of 13, 140, 524, 996?

You can find a detailed procedure to find GCD of 13, 140, 524, 996 on our page.

3. How to find GCD of 13, 140, 524, 996 on a calculator?

You can find the GCD of 13, 140, 524, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.