GCD of 544, 740, 969, 382 Calculator

Given Input numbers are 544, 740, 969, 382

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 544, 740, 969, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 740, 969, 382 is 1.

Therefore, GCD of numbers 544, 740, 969, 382 is 1

Given Input Data is 544, 740, 969, 382

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 382 is 2 x 191

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(544, 740) = 100640

GCD(544, 740) = ( 544 x 740 ) / 100640

GCD(544, 740) = 402560 / 100640

GCD(544, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 969

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

LCM(4, 969) = 3876

GCD(4, 969) = ( 4 x 969 ) / 3876

GCD(4, 969) = 3876 / 3876

GCD(4, 969) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 544, 740, 969, 382 is 1

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1. What is the GCD of 544, 740, 969, 382?

GCD of 544, 740, 969, 382 is 1

2. Where do I get the detailed procedure to find GCD of 544, 740, 969, 382?

You can find a detailed procedure to find GCD of 544, 740, 969, 382 on our page.

3. How to find GCD of 544, 740, 969, 382 on a calculator?

You can find the GCD of 544, 740, 969, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.