GCD of 495, 202, 940, 442 Calculator

Given Input numbers are 495, 202, 940, 442

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 495, 202, 940, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 202, 940, 442 is 1.

Therefore, GCD of numbers 495, 202, 940, 442 is 1

Given Input Data is 495, 202, 940, 442

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 202 is 2 x 101

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 442 is 2 x 13 x 17

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(495, 202) = 99990

GCD(495, 202) = ( 495 x 202 ) / 99990

GCD(495, 202) = 99990 / 99990

GCD(495, 202) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 495, 202, 940, 442 is 1

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1. What is the GCD of 495, 202, 940, 442?

GCD of 495, 202, 940, 442 is 1

2. Where do I get the detailed procedure to find GCD of 495, 202, 940, 442?

You can find a detailed procedure to find GCD of 495, 202, 940, 442 on our page.

3. How to find GCD of 495, 202, 940, 442 on a calculator?

You can find the GCD of 495, 202, 940, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.