GCD of 690, 984, 444 Calculator

Given Input numbers are 690, 984, 444

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

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 690, 984, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 984, 444 is 6.

Therefore, GCD of numbers 690, 984, 444 is 6

Given Input Data is 690, 984, 444

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

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 444 is 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(690, 984) = 113160

GCD(690, 984) = ( 690 x 984 ) / 113160

GCD(690, 984) = 678960 / 113160

GCD(690, 984) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 444

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

LCM(6, 444) = 444

GCD(6, 444) = ( 6 x 444 ) / 444

GCD(6, 444) = 2664 / 444

GCD(6, 444) = 6

GCD of 690, 984, 444 is 6

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• GCD of 469, 843, 992
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1. What is the GCD of 690, 984, 444?

GCD of 690, 984, 444 is 6

2. Where do I get the detailed procedure to find GCD of 690, 984, 444?

You can find a detailed procedure to find GCD of 690, 984, 444 on our page.

3. How to find GCD of 690, 984, 444 on a calculator?

You can find the GCD of 690, 984, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.