GCD of 279, 148, 40, 368 Calculator

Given Input numbers are 279, 148, 40, 368

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 279, 148, 40, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 148, 40, 368 is 1.

Therefore, GCD of numbers 279, 148, 40, 368 is 1

Given Input Data is 279, 148, 40, 368

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(279, 148) = 41292

GCD(279, 148) = ( 279 x 148 ) / 41292

GCD(279, 148) = 41292 / 41292

GCD(279, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 279, 148, 40, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 106, 34, 158
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• GCD of 289, 624, 73, 962

1. What is the GCD of 279, 148, 40, 368?

GCD of 279, 148, 40, 368 is 1

2. Where do I get the detailed procedure to find GCD of 279, 148, 40, 368?

You can find a detailed procedure to find GCD of 279, 148, 40, 368 on our page.

3. How to find GCD of 279, 148, 40, 368 on a calculator?

You can find the GCD of 279, 148, 40, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.