GCD of 964, 704, 508 Calculator

Given Input numbers are 964, 704, 508

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

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 964, 704, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 704, 508 is 4.

Therefore, GCD of numbers 964, 704, 508 is 4

Given Input Data is 964, 704, 508

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 508 is 2 x 2 x 127

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(964, 704) = 169664

GCD(964, 704) = ( 964 x 704 ) / 169664

GCD(964, 704) = 678656 / 169664

GCD(964, 704) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 508

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

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

GCD(4, 508) = 2032 / 508

GCD(4, 508) = 4

GCD of 964, 704, 508 is 4

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1. What is the GCD of 964, 704, 508?

GCD of 964, 704, 508 is 4

2. Where do I get the detailed procedure to find GCD of 964, 704, 508?

You can find a detailed procedure to find GCD of 964, 704, 508 on our page.

3. How to find GCD of 964, 704, 508 on a calculator?

You can find the GCD of 964, 704, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.