GCD of 689, 489, 617, 769 Calculator

Given Input numbers are 689, 489, 617, 769

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 489

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

1, 3, 163, 489

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 689, 489, 617, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 489, 617, 769 is 1.

Therefore, GCD of numbers 689, 489, 617, 769 is 1

Given Input Data is 689, 489, 617, 769

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 489 is 3 x 163

Prime Factorization of 617 is 617

Prime Factorization of 769 is 769

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(689, 489) = 336921

GCD(689, 489) = ( 689 x 489 ) / 336921

GCD(689, 489) = 336921 / 336921

GCD(689, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 689, 489, 617, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 329, 945, 727
• GCD of 669, 325, 717, 281
• GCD of 896, 449, 822, 350
• GCD of 743, 812, 831, 755
• GCD of 937, 958, 651, 178

1. What is the GCD of 689, 489, 617, 769?

GCD of 689, 489, 617, 769 is 1

2. Where do I get the detailed procedure to find GCD of 689, 489, 617, 769?

You can find a detailed procedure to find GCD of 689, 489, 617, 769 on our page.

3. How to find GCD of 689, 489, 617, 769 on a calculator?

You can find the GCD of 689, 489, 617, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.