GCD of 180, 126, 343, 506 Calculator

Given Input numbers are 180, 126, 343, 506

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 180, 126, 343, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 126, 343, 506 is 1.

Therefore, GCD of numbers 180, 126, 343, 506 is 1

Given Input Data is 180, 126, 343, 506

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 126 is 2 x 3 x 3 x 7

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 506 is 2 x 11 x 23

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, 126) = 1260

GCD(180, 126) = ( 180 x 126 ) / 1260

GCD(180, 126) = 22680 / 1260

GCD(180, 126) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 343

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

LCM(18, 343) = 6174

GCD(18, 343) = ( 18 x 343 ) / 6174

GCD(18, 343) = 6174 / 6174

GCD(18, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 180, 126, 343, 506 is 1

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• GCD of 752, 575, 126, 974
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1. What is the GCD of 180, 126, 343, 506?

GCD of 180, 126, 343, 506 is 1

2. Where do I get the detailed procedure to find GCD of 180, 126, 343, 506?

You can find a detailed procedure to find GCD of 180, 126, 343, 506 on our page.

3. How to find GCD of 180, 126, 343, 506 on a calculator?

You can find the GCD of 180, 126, 343, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.