GCD of 464, 506, 716, 600 Calculator

Given Input numbers are 464, 506, 716, 600

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 464, 506, 716, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 506, 716, 600 is 2.

Therefore, GCD of numbers 464, 506, 716, 600 is 2

Given Input Data is 464, 506, 716, 600

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(464, 506) = 117392

GCD(464, 506) = ( 464 x 506 ) / 117392

GCD(464, 506) = 234784 / 117392

GCD(464, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 464, 506, 716, 600 is 2

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1. What is the GCD of 464, 506, 716, 600?

GCD of 464, 506, 716, 600 is 2

2. Where do I get the detailed procedure to find GCD of 464, 506, 716, 600?

You can find a detailed procedure to find GCD of 464, 506, 716, 600 on our page.

3. How to find GCD of 464, 506, 716, 600 on a calculator?

You can find the GCD of 464, 506, 716, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.