GCD of 540, 495, 17, 938 Calculator

Given Input numbers are 540, 495, 17, 938

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 540, 495, 17, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 495, 17, 938 is 1.

Therefore, GCD of numbers 540, 495, 17, 938 is 1

Given Input Data is 540, 495, 17, 938

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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

Prime Factorization of 17 is 17

Prime Factorization of 938 is 2 x 7 x 67

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(540, 495) = 5940

GCD(540, 495) = ( 540 x 495 ) / 5940

GCD(540, 495) = 267300 / 5940

GCD(540, 495) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 17

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

LCM(45, 17) = 765

GCD(45, 17) = ( 45 x 17 ) / 765

GCD(45, 17) = 765 / 765

GCD(45, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 540, 495, 17, 938 is 1

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• GCD of 338, 371, 83, 297
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1. What is the GCD of 540, 495, 17, 938?

GCD of 540, 495, 17, 938 is 1

2. Where do I get the detailed procedure to find GCD of 540, 495, 17, 938?

You can find a detailed procedure to find GCD of 540, 495, 17, 938 on our page.

3. How to find GCD of 540, 495, 17, 938 on a calculator?

You can find the GCD of 540, 495, 17, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.