GCD of 105, 837, 47, 469 Calculator

Given Input numbers are 105, 837, 47, 469

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 105, 837, 47, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 837, 47, 469 is 1.

Therefore, GCD of numbers 105, 837, 47, 469 is 1

Given Input Data is 105, 837, 47, 469

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 47 is 47

Prime Factorization of 469 is 7 x 67

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(105, 837) = 29295

GCD(105, 837) = ( 105 x 837 ) / 29295

GCD(105, 837) = 87885 / 29295

GCD(105, 837) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 105, 837, 47, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 368, 93, 945
• GCD of 775, 446, 94, 647
• GCD of 368, 322, 35, 493
• GCD of 875, 279, 95, 695
• GCD of 259, 538, 49, 590

1. What is the GCD of 105, 837, 47, 469?

GCD of 105, 837, 47, 469 is 1

2. Where do I get the detailed procedure to find GCD of 105, 837, 47, 469?

You can find a detailed procedure to find GCD of 105, 837, 47, 469 on our page.

3. How to find GCD of 105, 837, 47, 469 on a calculator?

You can find the GCD of 105, 837, 47, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.