GCD of 84, 928, 199, 870 Calculator

Given Input numbers are 84, 928, 199, 870

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

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 84, 928, 199, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 928, 199, 870 is 1.

Therefore, GCD of numbers 84, 928, 199, 870 is 1

Given Input Data is 84, 928, 199, 870

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 199 is 199

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(84, 928) = 19488

GCD(84, 928) = ( 84 x 928 ) / 19488

GCD(84, 928) = 77952 / 19488

GCD(84, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 199

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

LCM(4, 199) = 796

GCD(4, 199) = ( 4 x 199 ) / 796

GCD(4, 199) = 796 / 796

GCD(4, 199) = 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 84, 928, 199, 870 is 1

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1. What is the GCD of 84, 928, 199, 870?

GCD of 84, 928, 199, 870 is 1

2. Where do I get the detailed procedure to find GCD of 84, 928, 199, 870?

You can find a detailed procedure to find GCD of 84, 928, 199, 870 on our page.

3. How to find GCD of 84, 928, 199, 870 on a calculator?

You can find the GCD of 84, 928, 199, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.