GCD of 123, 270, 80, 247 Calculator

Given Input numbers are 123, 270, 80, 247

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 123, 270, 80, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 270, 80, 247 is 1.

Therefore, GCD of numbers 123, 270, 80, 247 is 1

Given Input Data is 123, 270, 80, 247

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 247 is 13 x 19

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(123, 270) = 11070

GCD(123, 270) = ( 123 x 270 ) / 11070

GCD(123, 270) = 33210 / 11070

GCD(123, 270) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 80

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

LCM(3, 80) = 240

GCD(3, 80) = ( 3 x 80 ) / 240

GCD(3, 80) = 240 / 240

GCD(3, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 123, 270, 80, 247 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 793, 42, 104
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• GCD of 645, 519, 90, 144
• GCD of 305, 788, 42, 583

1. What is the GCD of 123, 270, 80, 247?

GCD of 123, 270, 80, 247 is 1

2. Where do I get the detailed procedure to find GCD of 123, 270, 80, 247?

You can find a detailed procedure to find GCD of 123, 270, 80, 247 on our page.

3. How to find GCD of 123, 270, 80, 247 on a calculator?

You can find the GCD of 123, 270, 80, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.