GCD of 212, 588, 996, 580 Calculator

Given Input numbers are 212, 588, 996, 580

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 212, 588, 996, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 588, 996, 580 is 4.

Therefore, GCD of numbers 212, 588, 996, 580 is 4

Given Input Data is 212, 588, 996, 580

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 580 is 2 x 2 x 5 x 29

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(212, 588) = 31164

GCD(212, 588) = ( 212 x 588 ) / 31164

GCD(212, 588) = 124656 / 31164

GCD(212, 588) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 996

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

LCM(4, 996) = 996

GCD(4, 996) = ( 4 x 996 ) / 996

GCD(4, 996) = 3984 / 996

GCD(4, 996) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 580

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

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

GCD(4, 580) = 2320 / 580

GCD(4, 580) = 4

GCD of 212, 588, 996, 580 is 4

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• GCD of 812, 556, 984, 118
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1. What is the GCD of 212, 588, 996, 580?

GCD of 212, 588, 996, 580 is 4

2. Where do I get the detailed procedure to find GCD of 212, 588, 996, 580?

You can find a detailed procedure to find GCD of 212, 588, 996, 580 on our page.

3. How to find GCD of 212, 588, 996, 580 on a calculator?

You can find the GCD of 212, 588, 996, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.