GCD of 382, 209, 74, 942 Calculator

Given Input numbers are 382, 209, 74, 942

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 382, 209, 74, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 209, 74, 942 is 1.

Therefore, GCD of numbers 382, 209, 74, 942 is 1

Given Input Data is 382, 209, 74, 942

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 209 is 11 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 942 is 2 x 3 x 157

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(382, 209) = 79838

GCD(382, 209) = ( 382 x 209 ) / 79838

GCD(382, 209) = 79838 / 79838

GCD(382, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 382, 209, 74, 942 is 1

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1. What is the GCD of 382, 209, 74, 942?

GCD of 382, 209, 74, 942 is 1

2. Where do I get the detailed procedure to find GCD of 382, 209, 74, 942?

You can find a detailed procedure to find GCD of 382, 209, 74, 942 on our page.

3. How to find GCD of 382, 209, 74, 942 on a calculator?

You can find the GCD of 382, 209, 74, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.