GCD of 788, 510, 561, 945 Calculator

Given Input numbers are 788, 510, 561, 945

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 788, 510, 561, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 510, 561, 945 is 1.

Therefore, GCD of numbers 788, 510, 561, 945 is 1

Given Input Data is 788, 510, 561, 945

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 945 is 3 x 3 x 3 x 5 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(788, 510) = 200940

GCD(788, 510) = ( 788 x 510 ) / 200940

GCD(788, 510) = 401880 / 200940

GCD(788, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 788, 510, 561, 945 is 1

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1. What is the GCD of 788, 510, 561, 945?

GCD of 788, 510, 561, 945 is 1

2. Where do I get the detailed procedure to find GCD of 788, 510, 561, 945?

You can find a detailed procedure to find GCD of 788, 510, 561, 945 on our page.

3. How to find GCD of 788, 510, 561, 945 on a calculator?

You can find the GCD of 788, 510, 561, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.