GCD of 360, 379, 140 Calculator

Given Input numbers are 360, 379, 140

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

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 360, 379, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 379, 140 is 1.

Therefore, GCD of numbers 360, 379, 140 is 1

Given Input Data is 360, 379, 140

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 379 is 379

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

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(360, 379) = 136440

GCD(360, 379) = ( 360 x 379 ) / 136440

GCD(360, 379) = 136440 / 136440

GCD(360, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 360, 379, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 302, 877
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1. What is the GCD of 360, 379, 140?

GCD of 360, 379, 140 is 1

2. Where do I get the detailed procedure to find GCD of 360, 379, 140?

You can find a detailed procedure to find GCD of 360, 379, 140 on our page.

3. How to find GCD of 360, 379, 140 on a calculator?

You can find the GCD of 360, 379, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.