GCD of 630, 759, 78, 271 Calculator

Given Input numbers are 630, 759, 78, 271

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 630, 759, 78, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 759, 78, 271 is 1.

Therefore, GCD of numbers 630, 759, 78, 271 is 1

Given Input Data is 630, 759, 78, 271

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 271 is 271

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(630, 759) = 159390

GCD(630, 759) = ( 630 x 759 ) / 159390

GCD(630, 759) = 478170 / 159390

GCD(630, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 271

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

LCM(3, 271) = 813

GCD(3, 271) = ( 3 x 271 ) / 813

GCD(3, 271) = 813 / 813

GCD(3, 271) = 1

GCD of 630, 759, 78, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 870, 82, 919
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• GCD of 440, 434, 56, 214

1. What is the GCD of 630, 759, 78, 271?

GCD of 630, 759, 78, 271 is 1

2. Where do I get the detailed procedure to find GCD of 630, 759, 78, 271?

You can find a detailed procedure to find GCD of 630, 759, 78, 271 on our page.

3. How to find GCD of 630, 759, 78, 271 on a calculator?

You can find the GCD of 630, 759, 78, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.