GCD of 297, 969, 667, 251 Calculator

Given Input numbers are 297, 969, 667, 251

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 297, 969, 667, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 969, 667, 251 is 1.

Therefore, GCD of numbers 297, 969, 667, 251 is 1

Given Input Data is 297, 969, 667, 251

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 667 is 23 x 29

Prime Factorization of 251 is 251

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(297, 969) = 95931

GCD(297, 969) = ( 297 x 969 ) / 95931

GCD(297, 969) = 287793 / 95931

GCD(297, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 667

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

LCM(3, 667) = 2001

GCD(3, 667) = ( 3 x 667 ) / 2001

GCD(3, 667) = 2001 / 2001

GCD(3, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 297, 969, 667, 251 is 1

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1. What is the GCD of 297, 969, 667, 251?

GCD of 297, 969, 667, 251 is 1

2. Where do I get the detailed procedure to find GCD of 297, 969, 667, 251?

You can find a detailed procedure to find GCD of 297, 969, 667, 251 on our page.

3. How to find GCD of 297, 969, 667, 251 on a calculator?

You can find the GCD of 297, 969, 667, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.