GCD of 489, 764, 74, 212 Calculator

Given Input numbers are 489, 764, 74, 212

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 212

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

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 489, 764, 74, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 764, 74, 212 is 1.

Therefore, GCD of numbers 489, 764, 74, 212 is 1

Given Input Data is 489, 764, 74, 212

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 74 is 2 x 37

Prime Factorization of 212 is 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

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(489, 764) = 373596

GCD(489, 764) = ( 489 x 764 ) / 373596

GCD(489, 764) = 373596 / 373596

GCD(489, 764) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 489, 764, 74, 212 is 1

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• GCD of 874, 133, 57, 472
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1. What is the GCD of 489, 764, 74, 212?

GCD of 489, 764, 74, 212 is 1

2. Where do I get the detailed procedure to find GCD of 489, 764, 74, 212?

You can find a detailed procedure to find GCD of 489, 764, 74, 212 on our page.

3. How to find GCD of 489, 764, 74, 212 on a calculator?

You can find the GCD of 489, 764, 74, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.