GCD of 696, 650, 564, 224 Calculator

Given Input numbers are 696, 650, 564, 224

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 696, 650, 564, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 650, 564, 224 is 2.

Therefore, GCD of numbers 696, 650, 564, 224 is 2

Given Input Data is 696, 650, 564, 224

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(696, 650) = 226200

GCD(696, 650) = ( 696 x 650 ) / 226200

GCD(696, 650) = 452400 / 226200

GCD(696, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 696, 650, 564, 224 is 2

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1. What is the GCD of 696, 650, 564, 224?

GCD of 696, 650, 564, 224 is 2

2. Where do I get the detailed procedure to find GCD of 696, 650, 564, 224?

You can find a detailed procedure to find GCD of 696, 650, 564, 224 on our page.

3. How to find GCD of 696, 650, 564, 224 on a calculator?

You can find the GCD of 696, 650, 564, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.