GCD of 492, 938, 96, 317 Calculator

Given Input numbers are 492, 938, 96, 317

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

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

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 492, 938, 96, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 938, 96, 317 is 1.

Therefore, GCD of numbers 492, 938, 96, 317 is 1

Given Input Data is 492, 938, 96, 317

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

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 317 is 317

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(492, 938) = 230748

GCD(492, 938) = ( 492 x 938 ) / 230748

GCD(492, 938) = 461496 / 230748

GCD(492, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 317

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

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

GCD(2, 317) = 634 / 634

GCD(2, 317) = 1

GCD of 492, 938, 96, 317 is 1

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• GCD of 776, 516, 42, 146
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1. What is the GCD of 492, 938, 96, 317?

GCD of 492, 938, 96, 317 is 1

2. Where do I get the detailed procedure to find GCD of 492, 938, 96, 317?

You can find a detailed procedure to find GCD of 492, 938, 96, 317 on our page.

3. How to find GCD of 492, 938, 96, 317 on a calculator?

You can find the GCD of 492, 938, 96, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.