GCD of 180, 748, 709, 559 Calculator

Given Input numbers are 180, 748, 709, 559

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 180, 748, 709, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 748, 709, 559 is 1.

Therefore, GCD of numbers 180, 748, 709, 559 is 1

Given Input Data is 180, 748, 709, 559

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 709 is 709

Prime Factorization of 559 is 13 x 43

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(180, 748) = 33660

GCD(180, 748) = ( 180 x 748 ) / 33660

GCD(180, 748) = 134640 / 33660

GCD(180, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 709

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

LCM(4, 709) = 2836

GCD(4, 709) = ( 4 x 709 ) / 2836

GCD(4, 709) = 2836 / 2836

GCD(4, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 180, 748, 709, 559 is 1

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• GCD of 888, 329, 819, 549
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• GCD of 164, 348, 649, 277

1. What is the GCD of 180, 748, 709, 559?

GCD of 180, 748, 709, 559 is 1

2. Where do I get the detailed procedure to find GCD of 180, 748, 709, 559?

You can find a detailed procedure to find GCD of 180, 748, 709, 559 on our page.

3. How to find GCD of 180, 748, 709, 559 on a calculator?

You can find the GCD of 180, 748, 709, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.