GCD of 744, 320, 50, 964 Calculator

Given Input numbers are 744, 320, 50, 964

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 744, 320, 50, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 320, 50, 964 is 2.

Therefore, GCD of numbers 744, 320, 50, 964 is 2

Given Input Data is 744, 320, 50, 964

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 964 is 2 x 2 x 241

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(744, 320) = 29760

GCD(744, 320) = ( 744 x 320 ) / 29760

GCD(744, 320) = 238080 / 29760

GCD(744, 320) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 50

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

LCM(8, 50) = 200

GCD(8, 50) = ( 8 x 50 ) / 200

GCD(8, 50) = 400 / 200

GCD(8, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 744, 320, 50, 964 is 2

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1. What is the GCD of 744, 320, 50, 964?

GCD of 744, 320, 50, 964 is 2

2. Where do I get the detailed procedure to find GCD of 744, 320, 50, 964?

You can find a detailed procedure to find GCD of 744, 320, 50, 964 on our page.

3. How to find GCD of 744, 320, 50, 964 on a calculator?

You can find the GCD of 744, 320, 50, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.