GCD of 848, 630, 16, 475 Calculator

Given Input numbers are 848, 630, 16, 475

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 848, 630, 16, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 630, 16, 475 is 1.

Therefore, GCD of numbers 848, 630, 16, 475 is 1

Given Input Data is 848, 630, 16, 475

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(848, 630) = 267120

GCD(848, 630) = ( 848 x 630 ) / 267120

GCD(848, 630) = 534240 / 267120

GCD(848, 630) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

GCD of 848, 630, 16, 475 is 1

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1. What is the GCD of 848, 630, 16, 475?

GCD of 848, 630, 16, 475 is 1

2. Where do I get the detailed procedure to find GCD of 848, 630, 16, 475?

You can find a detailed procedure to find GCD of 848, 630, 16, 475 on our page.

3. How to find GCD of 848, 630, 16, 475 on a calculator?

You can find the GCD of 848, 630, 16, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.