GCD of 789, 698, 940, 684 Calculator

Given Input numbers are 789, 698, 940, 684

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 789, 698, 940, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 698, 940, 684 is 1.

Therefore, GCD of numbers 789, 698, 940, 684 is 1

Given Input Data is 789, 698, 940, 684

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 698 is 2 x 349

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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, 698) = 550722

GCD(789, 698) = ( 789 x 698 ) / 550722

GCD(789, 698) = 550722 / 550722

GCD(789, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 789, 698, 940, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 289, 884, 416
• GCD of 776, 776, 224, 420
• GCD of 895, 134, 869, 940
• GCD of 511, 950, 738, 685
• GCD of 657, 812, 987, 406

1. What is the GCD of 789, 698, 940, 684?

GCD of 789, 698, 940, 684 is 1

2. Where do I get the detailed procedure to find GCD of 789, 698, 940, 684?

You can find a detailed procedure to find GCD of 789, 698, 940, 684 on our page.

3. How to find GCD of 789, 698, 940, 684 on a calculator?

You can find the GCD of 789, 698, 940, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.