GCD of 938, 282, 584, 492 Calculator

Given Input numbers are 938, 282, 584, 492

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

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 938, 282, 584, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 282, 584, 492 is 2.

Therefore, GCD of numbers 938, 282, 584, 492 is 2

Given Input Data is 938, 282, 584, 492

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 492 is 2 x 2 x 3 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(938, 282) = 132258

GCD(938, 282) = ( 938 x 282 ) / 132258

GCD(938, 282) = 264516 / 132258

GCD(938, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 492

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

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

GCD(2, 492) = 984 / 492

GCD(2, 492) = 2

GCD of 938, 282, 584, 492 is 2

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1. What is the GCD of 938, 282, 584, 492?

GCD of 938, 282, 584, 492 is 2

2. Where do I get the detailed procedure to find GCD of 938, 282, 584, 492?

You can find a detailed procedure to find GCD of 938, 282, 584, 492 on our page.

3. How to find GCD of 938, 282, 584, 492 on a calculator?

You can find the GCD of 938, 282, 584, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.