GCD of 870, 372, 992, 478 Calculator

Given Input numbers are 870, 372, 992, 478

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

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 870, 372, 992, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 372, 992, 478 is 2.

Therefore, GCD of numbers 870, 372, 992, 478 is 2

Given Input Data is 870, 372, 992, 478

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

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 478 is 2 x 239

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(870, 372) = 53940

GCD(870, 372) = ( 870 x 372 ) / 53940

GCD(870, 372) = 323640 / 53940

GCD(870, 372) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 992

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

LCM(6, 992) = 2976

GCD(6, 992) = ( 6 x 992 ) / 2976

GCD(6, 992) = 5952 / 2976

GCD(6, 992) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

GCD of 870, 372, 992, 478 is 2

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1. What is the GCD of 870, 372, 992, 478?

GCD of 870, 372, 992, 478 is 2

2. Where do I get the detailed procedure to find GCD of 870, 372, 992, 478?

You can find a detailed procedure to find GCD of 870, 372, 992, 478 on our page.

3. How to find GCD of 870, 372, 992, 478 on a calculator?

You can find the GCD of 870, 372, 992, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.