GCD of 28, 210, 705, 848 Calculator

Given Input numbers are 28, 210, 705, 848

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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

Greatest Common Divisior

We found the divisors of 28, 210, 705, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 210, 705, 848 is 1.

Therefore, GCD of numbers 28, 210, 705, 848 is 1

Given Input Data is 28, 210, 705, 848

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 705 is 3 x 5 x 47

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

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(28, 210) = 420

GCD(28, 210) = ( 28 x 210 ) / 420

GCD(28, 210) = 5880 / 420

GCD(28, 210) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 705

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

LCM(14, 705) = 9870

GCD(14, 705) = ( 14 x 705 ) / 9870

GCD(14, 705) = 9870 / 9870

GCD(14, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 28, 210, 705, 848 is 1

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1. What is the GCD of 28, 210, 705, 848?

GCD of 28, 210, 705, 848 is 1

2. Where do I get the detailed procedure to find GCD of 28, 210, 705, 848?

You can find a detailed procedure to find GCD of 28, 210, 705, 848 on our page.

3. How to find GCD of 28, 210, 705, 848 on a calculator?

You can find the GCD of 28, 210, 705, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.