GCD of 182, 299, 560, 938 Calculator

Given Input numbers are 182, 299, 560, 938

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 182, 299, 560, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 299, 560, 938 is 1.

Therefore, GCD of numbers 182, 299, 560, 938 is 1

Given Input Data is 182, 299, 560, 938

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 299 is 13 x 23

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 938 is 2 x 7 x 67

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(182, 299) = 4186

GCD(182, 299) = ( 182 x 299 ) / 4186

GCD(182, 299) = 54418 / 4186

GCD(182, 299) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 560

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

LCM(13, 560) = 7280

GCD(13, 560) = ( 13 x 560 ) / 7280

GCD(13, 560) = 7280 / 7280

GCD(13, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 182, 299, 560, 938 is 1

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1. What is the GCD of 182, 299, 560, 938?

GCD of 182, 299, 560, 938 is 1

2. Where do I get the detailed procedure to find GCD of 182, 299, 560, 938?

You can find a detailed procedure to find GCD of 182, 299, 560, 938 on our page.

3. How to find GCD of 182, 299, 560, 938 on a calculator?

You can find the GCD of 182, 299, 560, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.