GCD of 308, 672, 479, 870 Calculator

Given Input numbers are 308, 672, 479, 870

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 479

List of positive integer divisors of 479 that divides 479 without a remainder.

1, 479

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 308, 672, 479, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 672, 479, 870 is 1.

Therefore, GCD of numbers 308, 672, 479, 870 is 1

Given Input Data is 308, 672, 479, 870

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 479 is 479

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(308, 672) = 7392

GCD(308, 672) = ( 308 x 672 ) / 7392

GCD(308, 672) = 206976 / 7392

GCD(308, 672) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 479

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

LCM(28, 479) = 13412

GCD(28, 479) = ( 28 x 479 ) / 13412

GCD(28, 479) = 13412 / 13412

GCD(28, 479) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 308, 672, 479, 870 is 1

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1. What is the GCD of 308, 672, 479, 870?

GCD of 308, 672, 479, 870 is 1

2. Where do I get the detailed procedure to find GCD of 308, 672, 479, 870?

You can find a detailed procedure to find GCD of 308, 672, 479, 870 on our page.

3. How to find GCD of 308, 672, 479, 870 on a calculator?

You can find the GCD of 308, 672, 479, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.