GCD of 368, 270, 140 Calculator

Given Input numbers are 368, 270, 140

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

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 368, 270, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 270, 140 is 2.

Therefore, GCD of numbers 368, 270, 140 is 2

Given Input Data is 368, 270, 140

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

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(368, 270) = 49680

GCD(368, 270) = ( 368 x 270 ) / 49680

GCD(368, 270) = 99360 / 49680

GCD(368, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

GCD of 368, 270, 140 is 2

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1. What is the GCD of 368, 270, 140?

GCD of 368, 270, 140 is 2

2. Where do I get the detailed procedure to find GCD of 368, 270, 140?

You can find a detailed procedure to find GCD of 368, 270, 140 on our page.

3. How to find GCD of 368, 270, 140 on a calculator?

You can find the GCD of 368, 270, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.