GCD of 608, 500, 964, 620 Calculator

Given Input numbers are 608, 500, 964, 620

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 608, 500, 964, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 500, 964, 620 is 4.

Therefore, GCD of numbers 608, 500, 964, 620 is 4

Given Input Data is 608, 500, 964, 620

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 620 is 2 x 2 x 5 x 31

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(608, 500) = 76000

GCD(608, 500) = ( 608 x 500 ) / 76000

GCD(608, 500) = 304000 / 76000

GCD(608, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 964

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

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

GCD(4, 964) = 3856 / 964

GCD(4, 964) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 620

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

LCM(4, 620) = 620

GCD(4, 620) = ( 4 x 620 ) / 620

GCD(4, 620) = 2480 / 620

GCD(4, 620) = 4

GCD of 608, 500, 964, 620 is 4

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1. What is the GCD of 608, 500, 964, 620?

GCD of 608, 500, 964, 620 is 4

2. Where do I get the detailed procedure to find GCD of 608, 500, 964, 620?

You can find a detailed procedure to find GCD of 608, 500, 964, 620 on our page.

3. How to find GCD of 608, 500, 964, 620 on a calculator?

You can find the GCD of 608, 500, 964, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.