GCD of 345, 812, 975, 251 Calculator

Given Input numbers are 345, 812, 975, 251

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 345, 812, 975, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 812, 975, 251 is 1.

Therefore, GCD of numbers 345, 812, 975, 251 is 1

Given Input Data is 345, 812, 975, 251

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(345, 812) = 280140

GCD(345, 812) = ( 345 x 812 ) / 280140

GCD(345, 812) = 280140 / 280140

GCD(345, 812) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 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 345, 812, 975, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 219, 381, 702
• GCD of 840, 660, 825, 216
• GCD of 631, 252, 791, 391
• GCD of 903, 132, 311, 532
• GCD of 311, 320, 748, 748

1. What is the GCD of 345, 812, 975, 251?

GCD of 345, 812, 975, 251 is 1

2. Where do I get the detailed procedure to find GCD of 345, 812, 975, 251?

You can find a detailed procedure to find GCD of 345, 812, 975, 251 on our page.

3. How to find GCD of 345, 812, 975, 251 on a calculator?

You can find the GCD of 345, 812, 975, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.