GCD of 552, 224, 130, 739 Calculator

Given Input numbers are 552, 224, 130, 739

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 552, 224, 130, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 224, 130, 739 is 1.

Therefore, GCD of numbers 552, 224, 130, 739 is 1

Given Input Data is 552, 224, 130, 739

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 739 is 739

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(552, 224) = 15456

GCD(552, 224) = ( 552 x 224 ) / 15456

GCD(552, 224) = 123648 / 15456

GCD(552, 224) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 130

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

LCM(8, 130) = 520

GCD(8, 130) = ( 8 x 130 ) / 520

GCD(8, 130) = 1040 / 520

GCD(8, 130) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 552, 224, 130, 739 is 1

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1. What is the GCD of 552, 224, 130, 739?

GCD of 552, 224, 130, 739 is 1

2. Where do I get the detailed procedure to find GCD of 552, 224, 130, 739?

You can find a detailed procedure to find GCD of 552, 224, 130, 739 on our page.

3. How to find GCD of 552, 224, 130, 739 on a calculator?

You can find the GCD of 552, 224, 130, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.