GCD of 562, 900, 48, 311 Calculator

Given Input numbers are 562, 900, 48, 311

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 562, 900, 48, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 900, 48, 311 is 1.

Therefore, GCD of numbers 562, 900, 48, 311 is 1

Given Input Data is 562, 900, 48, 311

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

Prime Factorization of 562 is 2 x 281

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 311 is 311

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(562, 900) = 252900

GCD(562, 900) = ( 562 x 900 ) / 252900

GCD(562, 900) = 505800 / 252900

GCD(562, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

GCD of 562, 900, 48, 311 is 1

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• GCD of 654, 336, 44, 257
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1. What is the GCD of 562, 900, 48, 311?

GCD of 562, 900, 48, 311 is 1

2. Where do I get the detailed procedure to find GCD of 562, 900, 48, 311?

You can find a detailed procedure to find GCD of 562, 900, 48, 311 on our page.

3. How to find GCD of 562, 900, 48, 311 on a calculator?

You can find the GCD of 562, 900, 48, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.