GCD of 259, 270, 976, 714 Calculator

Given Input numbers are 259, 270, 976, 714

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 259, 270, 976, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 270, 976, 714 is 1.

Therefore, GCD of numbers 259, 270, 976, 714 is 1

Given Input Data is 259, 270, 976, 714

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(259, 270) = 69930

GCD(259, 270) = ( 259 x 270 ) / 69930

GCD(259, 270) = 69930 / 69930

GCD(259, 270) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 259, 270, 976, 714 is 1

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1. What is the GCD of 259, 270, 976, 714?

GCD of 259, 270, 976, 714 is 1

2. Where do I get the detailed procedure to find GCD of 259, 270, 976, 714?

You can find a detailed procedure to find GCD of 259, 270, 976, 714 on our page.

3. How to find GCD of 259, 270, 976, 714 on a calculator?

You can find the GCD of 259, 270, 976, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.