GCD of 282, 188, 42, 739 Calculator

Given Input numbers are 282, 188, 42, 739

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

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 282, 188, 42, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 188, 42, 739 is 1.

Therefore, GCD of numbers 282, 188, 42, 739 is 1

Given Input Data is 282, 188, 42, 739

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 739 is 739

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(282, 188) = 564

GCD(282, 188) = ( 282 x 188 ) / 564

GCD(282, 188) = 53016 / 564

GCD(282, 188) = 94

Step2:

Here we consider the GCD from the above i.e. 94 as first number and the next as 42

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

LCM(94, 42) = 1974

GCD(94, 42) = ( 94 x 42 ) / 1974

GCD(94, 42) = 3948 / 1974

GCD(94, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 282, 188, 42, 739 is 1

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1. What is the GCD of 282, 188, 42, 739?

GCD of 282, 188, 42, 739 is 1

2. Where do I get the detailed procedure to find GCD of 282, 188, 42, 739?

You can find a detailed procedure to find GCD of 282, 188, 42, 739 on our page.

3. How to find GCD of 282, 188, 42, 739 on a calculator?

You can find the GCD of 282, 188, 42, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.