GCD of 440, 630, 86, 188 Calculator

Given Input numbers are 440, 630, 86, 188

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 86

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

1, 2, 43, 86

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 440, 630, 86, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 630, 86, 188 is 2.

Therefore, GCD of numbers 440, 630, 86, 188 is 2

Given Input Data is 440, 630, 86, 188

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 86 is 2 x 43

Prime Factorization of 188 is 2 x 2 x 47

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(440, 630) = 27720

GCD(440, 630) = ( 440 x 630 ) / 27720

GCD(440, 630) = 277200 / 27720

GCD(440, 630) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 86

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

LCM(10, 86) = 430

GCD(10, 86) = ( 10 x 86 ) / 430

GCD(10, 86) = 860 / 430

GCD(10, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

GCD of 440, 630, 86, 188 is 2

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• GCD of 386, 407, 12, 465
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1. What is the GCD of 440, 630, 86, 188?

GCD of 440, 630, 86, 188 is 2

2. Where do I get the detailed procedure to find GCD of 440, 630, 86, 188?

You can find a detailed procedure to find GCD of 440, 630, 86, 188 on our page.

3. How to find GCD of 440, 630, 86, 188 on a calculator?

You can find the GCD of 440, 630, 86, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.