GCD of 213, 492, 25, 140 Calculator

Given Input numbers are 213, 492, 25, 140

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 213, 492, 25, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 492, 25, 140 is 1.

Therefore, GCD of numbers 213, 492, 25, 140 is 1

Given Input Data is 213, 492, 25, 140

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 25 is 5 x 5

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(213, 492) = 34932

GCD(213, 492) = ( 213 x 492 ) / 34932

GCD(213, 492) = 104796 / 34932

GCD(213, 492) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 25

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

LCM(3, 25) = 75

GCD(3, 25) = ( 3 x 25 ) / 75

GCD(3, 25) = 75 / 75

GCD(3, 25) = 1

Step3:

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 213, 492, 25, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 655, 47, 455
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• GCD of 664, 637, 14, 872
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• GCD of 486, 233, 70, 144

1. What is the GCD of 213, 492, 25, 140?

GCD of 213, 492, 25, 140 is 1

2. Where do I get the detailed procedure to find GCD of 213, 492, 25, 140?

You can find a detailed procedure to find GCD of 213, 492, 25, 140 on our page.

3. How to find GCD of 213, 492, 25, 140 on a calculator?

You can find the GCD of 213, 492, 25, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.