GCD of 824, 689, 10, 358 Calculator

Given Input numbers are 824, 689, 10, 358

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 824, 689, 10, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 689, 10, 358 is 1.

Therefore, GCD of numbers 824, 689, 10, 358 is 1

Given Input Data is 824, 689, 10, 358

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 689 is 13 x 53

Prime Factorization of 10 is 2 x 5

Prime Factorization of 358 is 2 x 179

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(824, 689) = 567736

GCD(824, 689) = ( 824 x 689 ) / 567736

GCD(824, 689) = 567736 / 567736

GCD(824, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 824, 689, 10, 358 is 1

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• GCD of 433, 254, 76, 223
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• GCD of 853, 104, 41, 803

1. What is the GCD of 824, 689, 10, 358?

GCD of 824, 689, 10, 358 is 1

2. Where do I get the detailed procedure to find GCD of 824, 689, 10, 358?

You can find a detailed procedure to find GCD of 824, 689, 10, 358 on our page.

3. How to find GCD of 824, 689, 10, 358 on a calculator?

You can find the GCD of 824, 689, 10, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.