GCD of 624, 700, 256 Calculator

Given Input numbers are 624, 700, 256

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 624, 700, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 700, 256 is 4.

Therefore, GCD of numbers 624, 700, 256 is 4

Given Input Data is 624, 700, 256

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(624, 700) = 109200

GCD(624, 700) = ( 624 x 700 ) / 109200

GCD(624, 700) = 436800 / 109200

GCD(624, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 256

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

LCM(4, 256) = 256

GCD(4, 256) = ( 4 x 256 ) / 256

GCD(4, 256) = 1024 / 256

GCD(4, 256) = 4

GCD of 624, 700, 256 is 4

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1. What is the GCD of 624, 700, 256?

GCD of 624, 700, 256 is 4

2. Where do I get the detailed procedure to find GCD of 624, 700, 256?

You can find a detailed procedure to find GCD of 624, 700, 256 on our page.

3. How to find GCD of 624, 700, 256 on a calculator?

You can find the GCD of 624, 700, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.