GCD of 78, 418, 780, 574 Calculator

Given Input numbers are 78, 418, 780, 574

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

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 78, 418, 780, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 418, 780, 574 is 2.

Therefore, GCD of numbers 78, 418, 780, 574 is 2

Given Input Data is 78, 418, 780, 574

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 574 is 2 x 7 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(78, 418) = 16302

GCD(78, 418) = ( 78 x 418 ) / 16302

GCD(78, 418) = 32604 / 16302

GCD(78, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

GCD of 78, 418, 780, 574 is 2

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• GCD of 53, 719, 570, 702
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• GCD of 20, 270, 305, 353

1. What is the GCD of 78, 418, 780, 574?

GCD of 78, 418, 780, 574 is 2

2. Where do I get the detailed procedure to find GCD of 78, 418, 780, 574?

You can find a detailed procedure to find GCD of 78, 418, 780, 574 on our page.

3. How to find GCD of 78, 418, 780, 574 on a calculator?

You can find the GCD of 78, 418, 780, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.