GCD of 976, 278, 261, 671 Calculator

Given Input numbers are 976, 278, 261, 671

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 976, 278, 261, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 278, 261, 671 is 1.

Therefore, GCD of numbers 976, 278, 261, 671 is 1

Given Input Data is 976, 278, 261, 671

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 278 is 2 x 139

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 671 is 11 x 61

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, 278) = 135664

GCD(976, 278) = ( 976 x 278 ) / 135664

GCD(976, 278) = 271328 / 135664

GCD(976, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 261

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

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

GCD(2, 261) = 522 / 522

GCD(2, 261) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 671

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

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

GCD(1, 671) = 671 / 671

GCD(1, 671) = 1

GCD of 976, 278, 261, 671 is 1

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1. What is the GCD of 976, 278, 261, 671?

GCD of 976, 278, 261, 671 is 1

2. Where do I get the detailed procedure to find GCD of 976, 278, 261, 671?

You can find a detailed procedure to find GCD of 976, 278, 261, 671 on our page.

3. How to find GCD of 976, 278, 261, 671 on a calculator?

You can find the GCD of 976, 278, 261, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.