GCD of 184, 567, 938, 742 Calculator

Given Input numbers are 184, 567, 938, 742

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 938

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

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 184, 567, 938, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 567, 938, 742 is 1.

Therefore, GCD of numbers 184, 567, 938, 742 is 1

Given Input Data is 184, 567, 938, 742

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 742 is 2 x 7 x 53

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(184, 567) = 104328

GCD(184, 567) = ( 184 x 567 ) / 104328

GCD(184, 567) = 104328 / 104328

GCD(184, 567) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 184, 567, 938, 742 is 1

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1. What is the GCD of 184, 567, 938, 742?

GCD of 184, 567, 938, 742 is 1

2. Where do I get the detailed procedure to find GCD of 184, 567, 938, 742?

You can find a detailed procedure to find GCD of 184, 567, 938, 742 on our page.

3. How to find GCD of 184, 567, 938, 742 on a calculator?

You can find the GCD of 184, 567, 938, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.