GCD of 501, 542, 105 Calculator

Given Input numbers are 501, 542, 105

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 501, 542, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 542, 105 is 1.

Therefore, GCD of numbers 501, 542, 105 is 1

Given Input Data is 501, 542, 105

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 542 is 2 x 271

Prime Factorization of 105 is 3 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(501, 542) = 271542

GCD(501, 542) = ( 501 x 542 ) / 271542

GCD(501, 542) = 271542 / 271542

GCD(501, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 501, 542, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 273, 942
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• GCD of 368, 403, 343
• GCD of 967, 723, 840
• GCD of 285, 987, 330

1. What is the GCD of 501, 542, 105?

GCD of 501, 542, 105 is 1

2. Where do I get the detailed procedure to find GCD of 501, 542, 105?

You can find a detailed procedure to find GCD of 501, 542, 105 on our page.

3. How to find GCD of 501, 542, 105 on a calculator?

You can find the GCD of 501, 542, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.