GCD of 440, 108, 978, 699 Calculator

Given Input numbers are 440, 108, 978, 699

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 440, 108, 978, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 108, 978, 699 is 1.

Therefore, GCD of numbers 440, 108, 978, 699 is 1

Given Input Data is 440, 108, 978, 699

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 699 is 3 x 233

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(440, 108) = 11880

GCD(440, 108) = ( 440 x 108 ) / 11880

GCD(440, 108) = 47520 / 11880

GCD(440, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 978

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

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

GCD(4, 978) = 3912 / 1956

GCD(4, 978) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

GCD of 440, 108, 978, 699 is 1

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1. What is the GCD of 440, 108, 978, 699?

GCD of 440, 108, 978, 699 is 1

2. Where do I get the detailed procedure to find GCD of 440, 108, 978, 699?

You can find a detailed procedure to find GCD of 440, 108, 978, 699 on our page.

3. How to find GCD of 440, 108, 978, 699 on a calculator?

You can find the GCD of 440, 108, 978, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.