GCD of 247, 423, 900, 370 Calculator

Given Input numbers are 247, 423, 900, 370

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

Divisors of 247

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

1, 13, 19, 247

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 247, 423, 900, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 247, 423, 900, 370 is 1.

Therefore, GCD of numbers 247, 423, 900, 370 is 1

Given Input Data is 247, 423, 900, 370

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

Prime Factorization of 247 is 13 x 19

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 370 is 2 x 5 x 37

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(247, 423) = 104481

GCD(247, 423) = ( 247 x 423 ) / 104481

GCD(247, 423) = 104481 / 104481

GCD(247, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 247, 423, 900, 370 is 1

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1. What is the GCD of 247, 423, 900, 370?

GCD of 247, 423, 900, 370 is 1

2. Where do I get the detailed procedure to find GCD of 247, 423, 900, 370?

You can find a detailed procedure to find GCD of 247, 423, 900, 370 on our page.

3. How to find GCD of 247, 423, 900, 370 on a calculator?

You can find the GCD of 247, 423, 900, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.