GCD of 50, 730, 408, 769 Calculator

Given Input numbers are 50, 730, 408, 769

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 50, 730, 408, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 730, 408, 769 is 1.

Therefore, GCD of numbers 50, 730, 408, 769 is 1

Given Input Data is 50, 730, 408, 769

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 730 is 2 x 5 x 73

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 769 is 769

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, 730) = 3650

GCD(50, 730) = ( 50 x 730 ) / 3650

GCD(50, 730) = 36500 / 3650

GCD(50, 730) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 408

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

LCM(10, 408) = 2040

GCD(10, 408) = ( 10 x 408 ) / 2040

GCD(10, 408) = 4080 / 2040

GCD(10, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

GCD of 50, 730, 408, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 854, 295, 475
• GCD of 59, 772, 158, 718
• GCD of 53, 910, 350, 870
• GCD of 39, 140, 984, 183
• GCD of 63, 771, 888, 383

1. What is the GCD of 50, 730, 408, 769?

GCD of 50, 730, 408, 769 is 1

2. Where do I get the detailed procedure to find GCD of 50, 730, 408, 769?

You can find a detailed procedure to find GCD of 50, 730, 408, 769 on our page.

3. How to find GCD of 50, 730, 408, 769 on a calculator?

You can find the GCD of 50, 730, 408, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.