GCD of 704, 264, 200 Calculator

Given Input numbers are 704, 264, 200

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

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 704, 264, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 264, 200 is 8.

Therefore, GCD of numbers 704, 264, 200 is 8

Given Input Data is 704, 264, 200

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

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(704, 264) = 2112

GCD(704, 264) = ( 704 x 264 ) / 2112

GCD(704, 264) = 185856 / 2112

GCD(704, 264) = 88

Step2:

Here we consider the GCD from the above i.e. 88 as first number and the next as 200

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

LCM(88, 200) = 2200

GCD(88, 200) = ( 88 x 200 ) / 2200

GCD(88, 200) = 17600 / 2200

GCD(88, 200) = 8

GCD of 704, 264, 200 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 525, 616
• GCD of 923, 205, 552
• GCD of 634, 194, 382
• GCD of 381, 612, 883
• GCD of 817, 869, 546

1. What is the GCD of 704, 264, 200?

GCD of 704, 264, 200 is 8

2. Where do I get the detailed procedure to find GCD of 704, 264, 200?

You can find a detailed procedure to find GCD of 704, 264, 200 on our page.

3. How to find GCD of 704, 264, 200 on a calculator?

You can find the GCD of 704, 264, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.