GCD of 854, 321, 375, 461 Calculator

Given Input numbers are 854, 321, 375, 461

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 854, 321, 375, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 321, 375, 461 is 1.

Therefore, GCD of numbers 854, 321, 375, 461 is 1

Given Input Data is 854, 321, 375, 461

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 321 is 3 x 107

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 461 is 461

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(854, 321) = 274134

GCD(854, 321) = ( 854 x 321 ) / 274134

GCD(854, 321) = 274134 / 274134

GCD(854, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 854, 321, 375, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 689, 712, 932
• GCD of 386, 895, 514, 662
• GCD of 342, 282, 123, 374
• GCD of 765, 539, 473, 565
• GCD of 260, 551, 734, 997

1. What is the GCD of 854, 321, 375, 461?

GCD of 854, 321, 375, 461 is 1

2. Where do I get the detailed procedure to find GCD of 854, 321, 375, 461?

You can find a detailed procedure to find GCD of 854, 321, 375, 461 on our page.

3. How to find GCD of 854, 321, 375, 461 on a calculator?

You can find the GCD of 854, 321, 375, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.