GCD of 50, 960, 133, 261 Calculator

Given Input numbers are 50, 960, 133, 261

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 50, 960, 133, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 960, 133, 261 is 1.

Therefore, GCD of numbers 50, 960, 133, 261 is 1

Given Input Data is 50, 960, 133, 261

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 133 is 7 x 19

Prime Factorization of 261 is 3 x 3 x 29

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(50, 960) = 4800

GCD(50, 960) = ( 50 x 960 ) / 4800

GCD(50, 960) = 48000 / 4800

GCD(50, 960) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 133

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

LCM(10, 133) = 1330

GCD(10, 133) = ( 10 x 133 ) / 1330

GCD(10, 133) = 1330 / 1330

GCD(10, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 50, 960, 133, 261 is 1

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• GCD of 71, 463, 496, 875
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• GCD of 38, 314, 297, 722

1. What is the GCD of 50, 960, 133, 261?

GCD of 50, 960, 133, 261 is 1

2. Where do I get the detailed procedure to find GCD of 50, 960, 133, 261?

You can find a detailed procedure to find GCD of 50, 960, 133, 261 on our page.

3. How to find GCD of 50, 960, 133, 261 on a calculator?

You can find the GCD of 50, 960, 133, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.