GCD of 259, 973, 762, 210 Calculator

Given Input numbers are 259, 973, 762, 210

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 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 259, 973, 762, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 973, 762, 210 is 1.

Therefore, GCD of numbers 259, 973, 762, 210 is 1

Given Input Data is 259, 973, 762, 210

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 973 is 7 x 139

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 210 is 2 x 3 x 5 x 7

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, 973) = 36001

GCD(259, 973) = ( 259 x 973 ) / 36001

GCD(259, 973) = 252007 / 36001

GCD(259, 973) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 762

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

LCM(7, 762) = 5334

GCD(7, 762) = ( 7 x 762 ) / 5334

GCD(7, 762) = 5334 / 5334

GCD(7, 762) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 259, 973, 762, 210 is 1

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1. What is the GCD of 259, 973, 762, 210?

GCD of 259, 973, 762, 210 is 1

2. Where do I get the detailed procedure to find GCD of 259, 973, 762, 210?

You can find a detailed procedure to find GCD of 259, 973, 762, 210 on our page.

3. How to find GCD of 259, 973, 762, 210 on a calculator?

You can find the GCD of 259, 973, 762, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.