GCD of 60, 886, 990, 474 Calculator

Given Input numbers are 60, 886, 990, 474

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 60, 886, 990, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 886, 990, 474 is 2.

Therefore, GCD of numbers 60, 886, 990, 474 is 2

Given Input Data is 60, 886, 990, 474

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 886 is 2 x 443

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 474 is 2 x 3 x 79

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(60, 886) = 26580

GCD(60, 886) = ( 60 x 886 ) / 26580

GCD(60, 886) = 53160 / 26580

GCD(60, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

GCD of 60, 886, 990, 474 is 2

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1. What is the GCD of 60, 886, 990, 474?

GCD of 60, 886, 990, 474 is 2

2. Where do I get the detailed procedure to find GCD of 60, 886, 990, 474?

You can find a detailed procedure to find GCD of 60, 886, 990, 474 on our page.

3. How to find GCD of 60, 886, 990, 474 on a calculator?

You can find the GCD of 60, 886, 990, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.