GCD of 437, 978, 44, 774 Calculator

Given Input numbers are 437, 978, 44, 774

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

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

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 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 437, 978, 44, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 978, 44, 774 is 1.

Therefore, GCD of numbers 437, 978, 44, 774 is 1

Given Input Data is 437, 978, 44, 774

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

Prime Factorization of 437 is 19 x 23

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(437, 978) = 427386

GCD(437, 978) = ( 437 x 978 ) / 427386

GCD(437, 978) = 427386 / 427386

GCD(437, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 437, 978, 44, 774 is 1

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1. What is the GCD of 437, 978, 44, 774?

GCD of 437, 978, 44, 774 is 1

2. Where do I get the detailed procedure to find GCD of 437, 978, 44, 774?

You can find a detailed procedure to find GCD of 437, 978, 44, 774 on our page.

3. How to find GCD of 437, 978, 44, 774 on a calculator?

You can find the GCD of 437, 978, 44, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.