GCD of 762, 217, 12, 489 Calculator

Given Input numbers are 762, 217, 12, 489

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 762, 217, 12, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 217, 12, 489 is 1.

Therefore, GCD of numbers 762, 217, 12, 489 is 1

Given Input Data is 762, 217, 12, 489

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 217 is 7 x 31

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 489 is 3 x 163

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(762, 217) = 165354

GCD(762, 217) = ( 762 x 217 ) / 165354

GCD(762, 217) = 165354 / 165354

GCD(762, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 762, 217, 12, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 341, 94, 932
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• GCD of 517, 944, 35, 616
• GCD of 135, 821, 72, 230
• GCD of 329, 395, 87, 735

1. What is the GCD of 762, 217, 12, 489?

GCD of 762, 217, 12, 489 is 1

2. Where do I get the detailed procedure to find GCD of 762, 217, 12, 489?

You can find a detailed procedure to find GCD of 762, 217, 12, 489 on our page.

3. How to find GCD of 762, 217, 12, 489 on a calculator?

You can find the GCD of 762, 217, 12, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.