GCD of 789, 513, 411, 196 Calculator

Given Input numbers are 789, 513, 411, 196

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 789, 513, 411, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 513, 411, 196 is 1.

Therefore, GCD of numbers 789, 513, 411, 196 is 1

Given Input Data is 789, 513, 411, 196

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 411 is 3 x 137

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(789, 513) = 134919

GCD(789, 513) = ( 789 x 513 ) / 134919

GCD(789, 513) = 404757 / 134919

GCD(789, 513) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 411

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

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

GCD(3, 411) = 1233 / 411

GCD(3, 411) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 196

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

LCM(3, 196) = 588

GCD(3, 196) = ( 3 x 196 ) / 588

GCD(3, 196) = 588 / 588

GCD(3, 196) = 1

GCD of 789, 513, 411, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 276, 308, 878
• GCD of 898, 589, 573, 391
• GCD of 690, 313, 740, 778
• GCD of 703, 337, 127, 726
• GCD of 934, 503, 249, 831

1. What is the GCD of 789, 513, 411, 196?

GCD of 789, 513, 411, 196 is 1

2. Where do I get the detailed procedure to find GCD of 789, 513, 411, 196?

You can find a detailed procedure to find GCD of 789, 513, 411, 196 on our page.

3. How to find GCD of 789, 513, 411, 196 on a calculator?

You can find the GCD of 789, 513, 411, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.