GCD of 689, 884, 677, 692 Calculator

Given Input numbers are 689, 884, 677, 692

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 689, 884, 677, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 884, 677, 692 is 1.

Therefore, GCD of numbers 689, 884, 677, 692 is 1

Given Input Data is 689, 884, 677, 692

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 677 is 677

Prime Factorization of 692 is 2 x 2 x 173

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, 884) = 46852

GCD(689, 884) = ( 689 x 884 ) / 46852

GCD(689, 884) = 609076 / 46852

GCD(689, 884) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 677

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

LCM(13, 677) = 8801

GCD(13, 677) = ( 13 x 677 ) / 8801

GCD(13, 677) = 8801 / 8801

GCD(13, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 689, 884, 677, 692 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 192, 648, 204
• GCD of 913, 305, 844, 995
• GCD of 212, 768, 144, 149
• GCD of 768, 187, 723, 174
• GCD of 784, 653, 599, 904

1. What is the GCD of 689, 884, 677, 692?

GCD of 689, 884, 677, 692 is 1

2. Where do I get the detailed procedure to find GCD of 689, 884, 677, 692?

You can find a detailed procedure to find GCD of 689, 884, 677, 692 on our page.

3. How to find GCD of 689, 884, 677, 692 on a calculator?

You can find the GCD of 689, 884, 677, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.