GCD of 845, 875, 49, 408 Calculator

Given Input numbers are 845, 875, 49, 408

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 845, 875, 49, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 875, 49, 408 is 1.

Therefore, GCD of numbers 845, 875, 49, 408 is 1

Given Input Data is 845, 875, 49, 408

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(845, 875) = 147875

GCD(845, 875) = ( 845 x 875 ) / 147875

GCD(845, 875) = 739375 / 147875

GCD(845, 875) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 845, 875, 49, 408 is 1

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1. What is the GCD of 845, 875, 49, 408?

GCD of 845, 875, 49, 408 is 1

2. Where do I get the detailed procedure to find GCD of 845, 875, 49, 408?

You can find a detailed procedure to find GCD of 845, 875, 49, 408 on our page.

3. How to find GCD of 845, 875, 49, 408 on a calculator?

You can find the GCD of 845, 875, 49, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.