GCD of 59, 224, 868, 682 Calculator

Given Input numbers are 59, 224, 868, 682

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

Divisors of 59

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

1, 59

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 59, 224, 868, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 224, 868, 682 is 1.

Therefore, GCD of numbers 59, 224, 868, 682 is 1

Given Input Data is 59, 224, 868, 682

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

Prime Factorization of 59 is 59

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 682 is 2 x 11 x 31

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(59, 224) = 13216

GCD(59, 224) = ( 59 x 224 ) / 13216

GCD(59, 224) = 13216 / 13216

GCD(59, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 59, 224, 868, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 172, 434, 829
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• GCD of 47, 665, 869, 328
• GCD of 27, 229, 447, 540
• GCD of 40, 677, 918, 480

1. What is the GCD of 59, 224, 868, 682?

GCD of 59, 224, 868, 682 is 1

2. Where do I get the detailed procedure to find GCD of 59, 224, 868, 682?

You can find a detailed procedure to find GCD of 59, 224, 868, 682 on our page.

3. How to find GCD of 59, 224, 868, 682 on a calculator?

You can find the GCD of 59, 224, 868, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.