GCD of 789, 694, 99, 242 Calculator

Given Input numbers are 789, 694, 99, 242

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 789, 694, 99, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 694, 99, 242 is 1.

Therefore, GCD of numbers 789, 694, 99, 242 is 1

Given Input Data is 789, 694, 99, 242

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 694 is 2 x 347

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 242 is 2 x 11 x 11

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, 694) = 547566

GCD(789, 694) = ( 789 x 694 ) / 547566

GCD(789, 694) = 547566 / 547566

GCD(789, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 789, 694, 99, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 220, 27, 720
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• GCD of 336, 917, 29, 846
• GCD of 343, 759, 38, 551
• GCD of 548, 283, 64, 575

1. What is the GCD of 789, 694, 99, 242?

GCD of 789, 694, 99, 242 is 1

2. Where do I get the detailed procedure to find GCD of 789, 694, 99, 242?

You can find a detailed procedure to find GCD of 789, 694, 99, 242 on our page.

3. How to find GCD of 789, 694, 99, 242 on a calculator?

You can find the GCD of 789, 694, 99, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.