GCD of 689, 899, 998, 945 Calculator

Given Input numbers are 689, 899, 998, 945

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 689, 899, 998, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 899, 998, 945 is 1.

Therefore, GCD of numbers 689, 899, 998, 945 is 1

Given Input Data is 689, 899, 998, 945

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 899 is 29 x 31

Prime Factorization of 998 is 2 x 499

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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, 899) = 619411

GCD(689, 899) = ( 689 x 899 ) / 619411

GCD(689, 899) = 619411 / 619411

GCD(689, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 689, 899, 998, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 610, 595, 264
• GCD of 748, 847, 679, 598
• GCD of 842, 485, 635, 376
• GCD of 128, 464, 554, 693
• GCD of 984, 581, 724, 502

1. What is the GCD of 689, 899, 998, 945?

GCD of 689, 899, 998, 945 is 1

2. Where do I get the detailed procedure to find GCD of 689, 899, 998, 945?

You can find a detailed procedure to find GCD of 689, 899, 998, 945 on our page.

3. How to find GCD of 689, 899, 998, 945 on a calculator?

You can find the GCD of 689, 899, 998, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.