GCD of 89, 285, 381, 953 Calculator

Given Input numbers are 89, 285, 381, 953

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 89, 285, 381, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 285, 381, 953 is 1.

Therefore, GCD of numbers 89, 285, 381, 953 is 1

Given Input Data is 89, 285, 381, 953

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

Prime Factorization of 89 is 89

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 381 is 3 x 127

Prime Factorization of 953 is 953

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(89, 285) = 25365

GCD(89, 285) = ( 89 x 285 ) / 25365

GCD(89, 285) = 25365 / 25365

GCD(89, 285) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 89, 285, 381, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 885, 887, 106
• GCD of 22, 357, 979, 776
• GCD of 76, 897, 770, 142
• GCD of 47, 174, 314, 620
• GCD of 32, 993, 889, 657

1. What is the GCD of 89, 285, 381, 953?

GCD of 89, 285, 381, 953 is 1

2. Where do I get the detailed procedure to find GCD of 89, 285, 381, 953?

You can find a detailed procedure to find GCD of 89, 285, 381, 953 on our page.

3. How to find GCD of 89, 285, 381, 953 on a calculator?

You can find the GCD of 89, 285, 381, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.