GCD of 976, 298, 13, 781 Calculator

Given Input numbers are 976, 298, 13, 781

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 13

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

1, 13

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 976, 298, 13, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 298, 13, 781 is 1.

Therefore, GCD of numbers 976, 298, 13, 781 is 1

Given Input Data is 976, 298, 13, 781

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 298 is 2 x 149

Prime Factorization of 13 is 13

Prime Factorization of 781 is 11 x 71

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(976, 298) = 145424

GCD(976, 298) = ( 976 x 298 ) / 145424

GCD(976, 298) = 290848 / 145424

GCD(976, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 1

GCD of 976, 298, 13, 781 is 1

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1. What is the GCD of 976, 298, 13, 781?

GCD of 976, 298, 13, 781 is 1

2. Where do I get the detailed procedure to find GCD of 976, 298, 13, 781?

You can find a detailed procedure to find GCD of 976, 298, 13, 781 on our page.

3. How to find GCD of 976, 298, 13, 781 on a calculator?

You can find the GCD of 976, 298, 13, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.