GCD of 205, 432, 140 Calculator

Given Input numbers are 205, 432, 140

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 205, 432, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 432, 140 is 1.

Therefore, GCD of numbers 205, 432, 140 is 1

Given Input Data is 205, 432, 140

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(205, 432) = 88560

GCD(205, 432) = ( 205 x 432 ) / 88560

GCD(205, 432) = 88560 / 88560

GCD(205, 432) = 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 205, 432, 140 is 1

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1. What is the GCD of 205, 432, 140?

GCD of 205, 432, 140 is 1

2. Where do I get the detailed procedure to find GCD of 205, 432, 140?

You can find a detailed procedure to find GCD of 205, 432, 140 on our page.

3. How to find GCD of 205, 432, 140 on a calculator?

You can find the GCD of 205, 432, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.