GCD of 240, 362, 140 Calculator

Given Input numbers are 240, 362, 140

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 240, 362, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 362, 140 is 2.

Therefore, GCD of numbers 240, 362, 140 is 2

Given Input Data is 240, 362, 140

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 362 is 2 x 181

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(240, 362) = 43440

GCD(240, 362) = ( 240 x 362 ) / 43440

GCD(240, 362) = 86880 / 43440

GCD(240, 362) = 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 240, 362, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 366, 885
• GCD of 954, 704, 764
• GCD of 140, 459, 904
• GCD of 128, 265, 393
• GCD of 501, 132, 658

1. What is the GCD of 240, 362, 140?

GCD of 240, 362, 140 is 2

2. Where do I get the detailed procedure to find GCD of 240, 362, 140?

You can find a detailed procedure to find GCD of 240, 362, 140 on our page.

3. How to find GCD of 240, 362, 140 on a calculator?

You can find the GCD of 240, 362, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.