GCD of 10, 929, 213, 790 Calculator

Given Input numbers are 10, 929, 213, 790

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 10, 929, 213, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 929, 213, 790 is 1.

Therefore, GCD of numbers 10, 929, 213, 790 is 1

Given Input Data is 10, 929, 213, 790

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 929 is 929

Prime Factorization of 213 is 3 x 71

Prime Factorization of 790 is 2 x 5 x 79

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(10, 929) = 9290

GCD(10, 929) = ( 10 x 929 ) / 9290

GCD(10, 929) = 9290 / 9290

GCD(10, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 10, 929, 213, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 218, 588, 541
• GCD of 90, 651, 284, 344
• GCD of 12, 149, 484, 819
• GCD of 54, 668, 655, 501
• GCD of 14, 138, 535, 699

1. What is the GCD of 10, 929, 213, 790?

GCD of 10, 929, 213, 790 is 1

2. Where do I get the detailed procedure to find GCD of 10, 929, 213, 790?

You can find a detailed procedure to find GCD of 10, 929, 213, 790 on our page.

3. How to find GCD of 10, 929, 213, 790 on a calculator?

You can find the GCD of 10, 929, 213, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.