GCD of 260, 716, 744, 943 Calculator

Given Input numbers are 260, 716, 744, 943

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 260, 716, 744, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 716, 744, 943 is 1.

Therefore, GCD of numbers 260, 716, 744, 943 is 1

Given Input Data is 260, 716, 744, 943

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 716 is 2 x 2 x 179

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 943 is 23 x 41

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, 716) = 46540

GCD(260, 716) = ( 260 x 716 ) / 46540

GCD(260, 716) = 186160 / 46540

GCD(260, 716) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 744

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

LCM(4, 744) = 744

GCD(4, 744) = ( 4 x 744 ) / 744

GCD(4, 744) = 2976 / 744

GCD(4, 744) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 943

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

LCM(4, 943) = 3772

GCD(4, 943) = ( 4 x 943 ) / 3772

GCD(4, 943) = 3772 / 3772

GCD(4, 943) = 1

GCD of 260, 716, 744, 943 is 1

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1. What is the GCD of 260, 716, 744, 943?

GCD of 260, 716, 744, 943 is 1

2. Where do I get the detailed procedure to find GCD of 260, 716, 744, 943?

You can find a detailed procedure to find GCD of 260, 716, 744, 943 on our page.

3. How to find GCD of 260, 716, 744, 943 on a calculator?

You can find the GCD of 260, 716, 744, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.