GCD of 260, 736, 31, 863 Calculator

Given Input numbers are 260, 736, 31, 863

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Greatest Common Divisior

We found the divisors of 260, 736, 31, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 736, 31, 863 is 1.

Therefore, GCD of numbers 260, 736, 31, 863 is 1

Given Input Data is 260, 736, 31, 863

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 31 is 31

Prime Factorization of 863 is 863

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(260, 736) = 47840

GCD(260, 736) = ( 260 x 736 ) / 47840

GCD(260, 736) = 191360 / 47840

GCD(260, 736) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 863

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

LCM(1, 863) = 863

GCD(1, 863) = ( 1 x 863 ) / 863

GCD(1, 863) = 863 / 863

GCD(1, 863) = 1

GCD of 260, 736, 31, 863 is 1

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1. What is the GCD of 260, 736, 31, 863?

GCD of 260, 736, 31, 863 is 1

2. Where do I get the detailed procedure to find GCD of 260, 736, 31, 863?

You can find a detailed procedure to find GCD of 260, 736, 31, 863 on our page.

3. How to find GCD of 260, 736, 31, 863 on a calculator?

You can find the GCD of 260, 736, 31, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.