GCD of 689, 728, 775, 965 Calculator

Given Input numbers are 689, 728, 775, 965

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 689, 728, 775, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 728, 775, 965 is 1.

Therefore, GCD of numbers 689, 728, 775, 965 is 1

Given Input Data is 689, 728, 775, 965

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 965 is 5 x 193

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, 728) = 38584

GCD(689, 728) = ( 689 x 728 ) / 38584

GCD(689, 728) = 501592 / 38584

GCD(689, 728) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 775

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

LCM(13, 775) = 10075

GCD(13, 775) = ( 13 x 775 ) / 10075

GCD(13, 775) = 10075 / 10075

GCD(13, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 689, 728, 775, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 455, 499, 674
• GCD of 137, 429, 365, 509
• GCD of 166, 643, 550, 382
• GCD of 462, 522, 255, 875
• GCD of 634, 778, 876, 589

1. What is the GCD of 689, 728, 775, 965?

GCD of 689, 728, 775, 965 is 1

2. Where do I get the detailed procedure to find GCD of 689, 728, 775, 965?

You can find a detailed procedure to find GCD of 689, 728, 775, 965 on our page.

3. How to find GCD of 689, 728, 775, 965 on a calculator?

You can find the GCD of 689, 728, 775, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.