GCD of 224, 526, 845, 687 Calculator

Given Input numbers are 224, 526, 845, 687

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 224, 526, 845, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 526, 845, 687 is 1.

Therefore, GCD of numbers 224, 526, 845, 687 is 1

Given Input Data is 224, 526, 845, 687

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 526 is 2 x 263

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 687 is 3 x 229

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, 526) = 58912

GCD(224, 526) = ( 224 x 526 ) / 58912

GCD(224, 526) = 117824 / 58912

GCD(224, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 845

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

LCM(2, 845) = 1690

GCD(2, 845) = ( 2 x 845 ) / 1690

GCD(2, 845) = 1690 / 1690

GCD(2, 845) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 224, 526, 845, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 422, 865, 997
• GCD of 276, 138, 979, 461
• GCD of 281, 656, 493, 503
• GCD of 873, 223, 179, 252
• GCD of 962, 686, 799, 371

1. What is the GCD of 224, 526, 845, 687?

GCD of 224, 526, 845, 687 is 1

2. Where do I get the detailed procedure to find GCD of 224, 526, 845, 687?

You can find a detailed procedure to find GCD of 224, 526, 845, 687 on our page.

3. How to find GCD of 224, 526, 845, 687 on a calculator?

You can find the GCD of 224, 526, 845, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.