GCD of 50, 965, 723, 133 Calculator

Given Input numbers are 50, 965, 723, 133

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 133

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

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 50, 965, 723, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 965, 723, 133 is 1.

Therefore, GCD of numbers 50, 965, 723, 133 is 1

Given Input Data is 50, 965, 723, 133

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 965 is 5 x 193

Prime Factorization of 723 is 3 x 241

Prime Factorization of 133 is 7 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(50, 965) = 9650

GCD(50, 965) = ( 50 x 965 ) / 9650

GCD(50, 965) = 48250 / 9650

GCD(50, 965) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 723

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

LCM(5, 723) = 3615

GCD(5, 723) = ( 5 x 723 ) / 3615

GCD(5, 723) = 3615 / 3615

GCD(5, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 50, 965, 723, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 134, 472, 905
• GCD of 93, 906, 235, 359
• GCD of 55, 256, 439, 468
• GCD of 28, 117, 161, 613
• GCD of 31, 148, 770, 979

1. What is the GCD of 50, 965, 723, 133?

GCD of 50, 965, 723, 133 is 1

2. Where do I get the detailed procedure to find GCD of 50, 965, 723, 133?

You can find a detailed procedure to find GCD of 50, 965, 723, 133 on our page.

3. How to find GCD of 50, 965, 723, 133 on a calculator?

You can find the GCD of 50, 965, 723, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.