GCD of 762, 489, 614 Calculator

Given Input numbers are 762, 489, 614

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 489

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

1, 3, 163, 489

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 762, 489, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 489, 614 is 1.

Therefore, GCD of numbers 762, 489, 614 is 1

Given Input Data is 762, 489, 614

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 489 is 3 x 163

Prime Factorization of 614 is 2 x 307

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, 489) = 124206

GCD(762, 489) = ( 762 x 489 ) / 124206

GCD(762, 489) = 372618 / 124206

GCD(762, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 614

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

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

GCD(3, 614) = 1842 / 1842

GCD(3, 614) = 1

GCD of 762, 489, 614 is 1

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• GCD of 667, 144, 577
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1. What is the GCD of 762, 489, 614?

GCD of 762, 489, 614 is 1

2. Where do I get the detailed procedure to find GCD of 762, 489, 614?

You can find a detailed procedure to find GCD of 762, 489, 614 on our page.

3. How to find GCD of 762, 489, 614 on a calculator?

You can find the GCD of 762, 489, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.