GCD of 976, 290, 266, 113 Calculator

Given Input numbers are 976, 290, 266, 113

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 976, 290, 266, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 290, 266, 113 is 1.

Therefore, GCD of numbers 976, 290, 266, 113 is 1

Given Input Data is 976, 290, 266, 113

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 290 is 2 x 5 x 29

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 113 is 113

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, 290) = 141520

GCD(976, 290) = ( 976 x 290 ) / 141520

GCD(976, 290) = 283040 / 141520

GCD(976, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 976, 290, 266, 113 is 1

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1. What is the GCD of 976, 290, 266, 113?

GCD of 976, 290, 266, 113 is 1

2. Where do I get the detailed procedure to find GCD of 976, 290, 266, 113?

You can find a detailed procedure to find GCD of 976, 290, 266, 113 on our page.

3. How to find GCD of 976, 290, 266, 113 on a calculator?

You can find the GCD of 976, 290, 266, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.