GCD of 106, 615, 16, 273 Calculator

Given Input numbers are 106, 615, 16, 273

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 106, 615, 16, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 615, 16, 273 is 1.

Therefore, GCD of numbers 106, 615, 16, 273 is 1

Given Input Data is 106, 615, 16, 273

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 273 is 3 x 7 x 13

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(106, 615) = 65190

GCD(106, 615) = ( 106 x 615 ) / 65190

GCD(106, 615) = 65190 / 65190

GCD(106, 615) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 106, 615, 16, 273 is 1

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• GCD of 116, 548, 10, 719
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• GCD of 976, 756, 66, 941

1. What is the GCD of 106, 615, 16, 273?

GCD of 106, 615, 16, 273 is 1

2. Where do I get the detailed procedure to find GCD of 106, 615, 16, 273?

You can find a detailed procedure to find GCD of 106, 615, 16, 273 on our page.

3. How to find GCD of 106, 615, 16, 273 on a calculator?

You can find the GCD of 106, 615, 16, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.