GCD of 259, 976, 52, 346 Calculator

Given Input numbers are 259, 976, 52, 346

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 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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 259, 976, 52, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 976, 52, 346 is 1.

Therefore, GCD of numbers 259, 976, 52, 346 is 1

Given Input Data is 259, 976, 52, 346

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

Prime Factorization of 259 is 7 x 37

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 346 is 2 x 173

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, 976) = 252784

GCD(259, 976) = ( 259 x 976 ) / 252784

GCD(259, 976) = 252784 / 252784

GCD(259, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 259, 976, 52, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 100, 19, 456
• GCD of 166, 345, 19, 939
• GCD of 122, 797, 55, 575
• GCD of 569, 856, 95, 507
• GCD of 829, 314, 11, 873

1. What is the GCD of 259, 976, 52, 346?

GCD of 259, 976, 52, 346 is 1

2. Where do I get the detailed procedure to find GCD of 259, 976, 52, 346?

You can find a detailed procedure to find GCD of 259, 976, 52, 346 on our page.

3. How to find GCD of 259, 976, 52, 346 on a calculator?

You can find the GCD of 259, 976, 52, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.