GCD of 789, 113, 55, 514 Calculator

Given Input numbers are 789, 113, 55, 514

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 789, 113, 55, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 113, 55, 514 is 1.

Therefore, GCD of numbers 789, 113, 55, 514 is 1

Given Input Data is 789, 113, 55, 514

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 113 is 113

Prime Factorization of 55 is 5 x 11

Prime Factorization of 514 is 2 x 257

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, 113) = 89157

GCD(789, 113) = ( 789 x 113 ) / 89157

GCD(789, 113) = 89157 / 89157

GCD(789, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 789, 113, 55, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 880, 25, 660
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• GCD of 332, 345, 87, 175
• GCD of 224, 572, 18, 560
• GCD of 200, 728, 99, 909

1. What is the GCD of 789, 113, 55, 514?

GCD of 789, 113, 55, 514 is 1

2. Where do I get the detailed procedure to find GCD of 789, 113, 55, 514?

You can find a detailed procedure to find GCD of 789, 113, 55, 514 on our page.

3. How to find GCD of 789, 113, 55, 514 on a calculator?

You can find the GCD of 789, 113, 55, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.