GCD of 999, 978, 690, 897 Calculator

Given Input numbers are 999, 978, 690, 897

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 999, 978, 690, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 978, 690, 897 is 3.

Therefore, GCD of numbers 999, 978, 690, 897 is 3

Given Input Data is 999, 978, 690, 897

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 897 is 3 x 13 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(999, 978) = 325674

GCD(999, 978) = ( 999 x 978 ) / 325674

GCD(999, 978) = 977022 / 325674

GCD(999, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 690

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

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

GCD(3, 690) = 2070 / 690

GCD(3, 690) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 897

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

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

GCD(3, 897) = 2691 / 897

GCD(3, 897) = 3

GCD of 999, 978, 690, 897 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 840, 936, 525
• GCD of 157, 299, 181, 740
• GCD of 277, 720, 539, 603
• GCD of 633, 116, 202, 236
• GCD of 199, 224, 134, 500

1. What is the GCD of 999, 978, 690, 897?

GCD of 999, 978, 690, 897 is 3

2. Where do I get the detailed procedure to find GCD of 999, 978, 690, 897?

You can find a detailed procedure to find GCD of 999, 978, 690, 897 on our page.

3. How to find GCD of 999, 978, 690, 897 on a calculator?

You can find the GCD of 999, 978, 690, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.