GCD of 268, 900, 47, 341 Calculator

Given Input numbers are 268, 900, 47, 341

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 268, 900, 47, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 900, 47, 341 is 1.

Therefore, GCD of numbers 268, 900, 47, 341 is 1

Given Input Data is 268, 900, 47, 341

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

Prime Factorization of 268 is 2 x 2 x 67

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

Prime Factorization of 47 is 47

Prime Factorization of 341 is 11 x 31

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(268, 900) = 60300

GCD(268, 900) = ( 268 x 900 ) / 60300

GCD(268, 900) = 241200 / 60300

GCD(268, 900) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 268, 900, 47, 341 is 1

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1. What is the GCD of 268, 900, 47, 341?

GCD of 268, 900, 47, 341 is 1

2. Where do I get the detailed procedure to find GCD of 268, 900, 47, 341?

You can find a detailed procedure to find GCD of 268, 900, 47, 341 on our page.

3. How to find GCD of 268, 900, 47, 341 on a calculator?

You can find the GCD of 268, 900, 47, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.