GCD of 15, 550, 296, 102 Calculator

Given Input numbers are 15, 550, 296, 102

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 15, 550, 296, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 550, 296, 102 is 1.

Therefore, GCD of numbers 15, 550, 296, 102 is 1

Given Input Data is 15, 550, 296, 102

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 102 is 2 x 3 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(15, 550) = 1650

GCD(15, 550) = ( 15 x 550 ) / 1650

GCD(15, 550) = 8250 / 1650

GCD(15, 550) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 296

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

LCM(5, 296) = 1480

GCD(5, 296) = ( 5 x 296 ) / 1480

GCD(5, 296) = 1480 / 1480

GCD(5, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 15, 550, 296, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 851, 109, 356
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• GCD of 27, 156, 329, 962
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• GCD of 30, 672, 212, 269

1. What is the GCD of 15, 550, 296, 102?

GCD of 15, 550, 296, 102 is 1

2. Where do I get the detailed procedure to find GCD of 15, 550, 296, 102?

You can find a detailed procedure to find GCD of 15, 550, 296, 102 on our page.

3. How to find GCD of 15, 550, 296, 102 on a calculator?

You can find the GCD of 15, 550, 296, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.