GCD of 69, 138, 776, 489 Calculator

Given Input numbers are 69, 138, 776, 489

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

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 69, 138, 776, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 138, 776, 489 is 1.

Therefore, GCD of numbers 69, 138, 776, 489 is 1

Given Input Data is 69, 138, 776, 489

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(69, 138) = 138

GCD(69, 138) = ( 69 x 138 ) / 138

GCD(69, 138) = 9522 / 138

GCD(69, 138) = 69

Step2:

Here we consider the GCD from the above i.e. 69 as first number and the next as 776

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

LCM(69, 776) = 53544

GCD(69, 776) = ( 69 x 776 ) / 53544

GCD(69, 776) = 53544 / 53544

GCD(69, 776) = 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 69, 138, 776, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 673, 751, 372
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1. What is the GCD of 69, 138, 776, 489?

GCD of 69, 138, 776, 489 is 1

2. Where do I get the detailed procedure to find GCD of 69, 138, 776, 489?

You can find a detailed procedure to find GCD of 69, 138, 776, 489 on our page.

3. How to find GCD of 69, 138, 776, 489 on a calculator?

You can find the GCD of 69, 138, 776, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.