GCD of 747, 800, 607, 224 Calculator

Given Input numbers are 747, 800, 607, 224

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 747, 800, 607, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 800, 607, 224 is 1.

Therefore, GCD of numbers 747, 800, 607, 224 is 1

Given Input Data is 747, 800, 607, 224

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

Prime Factorization of 747 is 3 x 3 x 83

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

Prime Factorization of 607 is 607

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(747, 800) = 597600

GCD(747, 800) = ( 747 x 800 ) / 597600

GCD(747, 800) = 597600 / 597600

GCD(747, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 747, 800, 607, 224 is 1

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1. What is the GCD of 747, 800, 607, 224?

GCD of 747, 800, 607, 224 is 1

2. Where do I get the detailed procedure to find GCD of 747, 800, 607, 224?

You can find a detailed procedure to find GCD of 747, 800, 607, 224 on our page.

3. How to find GCD of 747, 800, 607, 224 on a calculator?

You can find the GCD of 747, 800, 607, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.