GCD of 945, 831, 85, 475 Calculator

Given Input numbers are 945, 831, 85, 475

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 945, 831, 85, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 831, 85, 475 is 1.

Therefore, GCD of numbers 945, 831, 85, 475 is 1

Given Input Data is 945, 831, 85, 475

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 831 is 3 x 277

Prime Factorization of 85 is 5 x 17

Prime Factorization of 475 is 5 x 5 x 19

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(945, 831) = 261765

GCD(945, 831) = ( 945 x 831 ) / 261765

GCD(945, 831) = 785295 / 261765

GCD(945, 831) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 945, 831, 85, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 510, 11, 310
• GCD of 524, 306, 26, 756
• GCD of 323, 951, 94, 727
• GCD of 465, 931, 64, 543
• GCD of 720, 613, 16, 568

1. What is the GCD of 945, 831, 85, 475?

GCD of 945, 831, 85, 475 is 1

2. Where do I get the detailed procedure to find GCD of 945, 831, 85, 475?

You can find a detailed procedure to find GCD of 945, 831, 85, 475 on our page.

3. How to find GCD of 945, 831, 85, 475 on a calculator?

You can find the GCD of 945, 831, 85, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.