GCD of 544, 400, 367, 745 Calculator

Given Input numbers are 544, 400, 367, 745

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 544, 400, 367, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 400, 367, 745 is 1.

Therefore, GCD of numbers 544, 400, 367, 745 is 1

Given Input Data is 544, 400, 367, 745

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 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 367 is 367

Prime Factorization of 745 is 5 x 149

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, 400) = 13600

GCD(544, 400) = ( 544 x 400 ) / 13600

GCD(544, 400) = 217600 / 13600

GCD(544, 400) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 367

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

LCM(16, 367) = 5872

GCD(16, 367) = ( 16 x 367 ) / 5872

GCD(16, 367) = 5872 / 5872

GCD(16, 367) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 544, 400, 367, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 546, 779, 883
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• GCD of 579, 227, 762, 883
• GCD of 150, 630, 626, 636
• GCD of 278, 254, 726, 627

1. What is the GCD of 544, 400, 367, 745?

GCD of 544, 400, 367, 745 is 1

2. Where do I get the detailed procedure to find GCD of 544, 400, 367, 745?

You can find a detailed procedure to find GCD of 544, 400, 367, 745 on our page.

3. How to find GCD of 544, 400, 367, 745 on a calculator?

You can find the GCD of 544, 400, 367, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.