GCD of 50, 965, 459, 736 Calculator

Given Input numbers are 50, 965, 459, 736

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 50, 965, 459, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 965, 459, 736 is 1.

Therefore, GCD of numbers 50, 965, 459, 736 is 1

Given Input Data is 50, 965, 459, 736

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 459 is 3 x 3 x 3 x 17

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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 459

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

LCM(5, 459) = 2295

GCD(5, 459) = ( 5 x 459 ) / 2295

GCD(5, 459) = 2295 / 2295

GCD(5, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 50, 965, 459, 736 is 1

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1. What is the GCD of 50, 965, 459, 736?

GCD of 50, 965, 459, 736 is 1

2. Where do I get the detailed procedure to find GCD of 50, 965, 459, 736?

You can find a detailed procedure to find GCD of 50, 965, 459, 736 on our page.

3. How to find GCD of 50, 965, 459, 736 on a calculator?

You can find the GCD of 50, 965, 459, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.