GCD of 382, 712, 92, 402 Calculator

Given Input numbers are 382, 712, 92, 402

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 382, 712, 92, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 712, 92, 402 is 2.

Therefore, GCD of numbers 382, 712, 92, 402 is 2

Given Input Data is 382, 712, 92, 402

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 402 is 2 x 3 x 67

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(382, 712) = 135992

GCD(382, 712) = ( 382 x 712 ) / 135992

GCD(382, 712) = 271984 / 135992

GCD(382, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 402

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

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

GCD(2, 402) = 804 / 402

GCD(2, 402) = 2

GCD of 382, 712, 92, 402 is 2

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1. What is the GCD of 382, 712, 92, 402?

GCD of 382, 712, 92, 402 is 2

2. Where do I get the detailed procedure to find GCD of 382, 712, 92, 402?

You can find a detailed procedure to find GCD of 382, 712, 92, 402 on our page.

3. How to find GCD of 382, 712, 92, 402 on a calculator?

You can find the GCD of 382, 712, 92, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.