GCD of 870, 312, 86, 556 Calculator

Given Input numbers are 870, 312, 86, 556

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 870, 312, 86, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 312, 86, 556 is 2.

Therefore, GCD of numbers 870, 312, 86, 556 is 2

Given Input Data is 870, 312, 86, 556

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 86 is 2 x 43

Prime Factorization of 556 is 2 x 2 x 139

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, 312) = 45240

GCD(870, 312) = ( 870 x 312 ) / 45240

GCD(870, 312) = 271440 / 45240

GCD(870, 312) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 86

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

LCM(6, 86) = 258

GCD(6, 86) = ( 6 x 86 ) / 258

GCD(6, 86) = 516 / 258

GCD(6, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 870, 312, 86, 556 is 2

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• GCD of 371, 351, 72, 731
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• GCD of 509, 245, 93, 356
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1. What is the GCD of 870, 312, 86, 556?

GCD of 870, 312, 86, 556 is 2

2. Where do I get the detailed procedure to find GCD of 870, 312, 86, 556?

You can find a detailed procedure to find GCD of 870, 312, 86, 556 on our page.

3. How to find GCD of 870, 312, 86, 556 on a calculator?

You can find the GCD of 870, 312, 86, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.