GCD of 224, 869, 59, 704 Calculator

Given Input numbers are 224, 869, 59, 704

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

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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

Greatest Common Divisior

We found the divisors of 224, 869, 59, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 869, 59, 704 is 1.

Therefore, GCD of numbers 224, 869, 59, 704 is 1

Given Input Data is 224, 869, 59, 704

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

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 59 is 59

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

The above numbers do not have any common prime factor. So GCD is 1

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(224, 869) = 194656

GCD(224, 869) = ( 224 x 869 ) / 194656

GCD(224, 869) = 194656 / 194656

GCD(224, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 224, 869, 59, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 433, 92, 992
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• GCD of 299, 357, 65, 801
• GCD of 675, 186, 64, 400

1. What is the GCD of 224, 869, 59, 704?

GCD of 224, 869, 59, 704 is 1

2. Where do I get the detailed procedure to find GCD of 224, 869, 59, 704?

You can find a detailed procedure to find GCD of 224, 869, 59, 704 on our page.

3. How to find GCD of 224, 869, 59, 704 on a calculator?

You can find the GCD of 224, 869, 59, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.