GCD of 740, 800, 288, 547 Calculator

Given Input numbers are 740, 800, 288, 547

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

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 740, 800, 288, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 800, 288, 547 is 1.

Therefore, GCD of numbers 740, 800, 288, 547 is 1

Given Input Data is 740, 800, 288, 547

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

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 547 is 547

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(740, 800) = 29600

GCD(740, 800) = ( 740 x 800 ) / 29600

GCD(740, 800) = 592000 / 29600

GCD(740, 800) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 288

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

LCM(20, 288) = 1440

GCD(20, 288) = ( 20 x 288 ) / 1440

GCD(20, 288) = 5760 / 1440

GCD(20, 288) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 547

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

LCM(4, 547) = 2188

GCD(4, 547) = ( 4 x 547 ) / 2188

GCD(4, 547) = 2188 / 2188

GCD(4, 547) = 1

GCD of 740, 800, 288, 547 is 1

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1. What is the GCD of 740, 800, 288, 547?

GCD of 740, 800, 288, 547 is 1

2. Where do I get the detailed procedure to find GCD of 740, 800, 288, 547?

You can find a detailed procedure to find GCD of 740, 800, 288, 547 on our page.

3. How to find GCD of 740, 800, 288, 547 on a calculator?

You can find the GCD of 740, 800, 288, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.