GCD of 495, 980, 40, 381 Calculator

Given Input numbers are 495, 980, 40, 381

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 495, 980, 40, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 980, 40, 381 is 1.

Therefore, GCD of numbers 495, 980, 40, 381 is 1

Given Input Data is 495, 980, 40, 381

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 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 381 is 3 x 127

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, 980) = 97020

GCD(495, 980) = ( 495 x 980 ) / 97020

GCD(495, 980) = 485100 / 97020

GCD(495, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 40

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

LCM(5, 40) = 40

GCD(5, 40) = ( 5 x 40 ) / 40

GCD(5, 40) = 200 / 40

GCD(5, 40) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 381

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

LCM(5, 381) = 1905

GCD(5, 381) = ( 5 x 381 ) / 1905

GCD(5, 381) = 1905 / 1905

GCD(5, 381) = 1

GCD of 495, 980, 40, 381 is 1

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1. What is the GCD of 495, 980, 40, 381?

GCD of 495, 980, 40, 381 is 1

2. Where do I get the detailed procedure to find GCD of 495, 980, 40, 381?

You can find a detailed procedure to find GCD of 495, 980, 40, 381 on our page.

3. How to find GCD of 495, 980, 40, 381 on a calculator?

You can find the GCD of 495, 980, 40, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.