GCD of 778, 540, 42, 564 Calculator

Given Input numbers are 778, 540, 42, 564

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 778, 540, 42, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 540, 42, 564 is 2.

Therefore, GCD of numbers 778, 540, 42, 564 is 2

Given Input Data is 778, 540, 42, 564

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(778, 540) = 210060

GCD(778, 540) = ( 778 x 540 ) / 210060

GCD(778, 540) = 420120 / 210060

GCD(778, 540) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

GCD of 778, 540, 42, 564 is 2

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• GCD of 389, 116, 48, 422
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• GCD of 409, 517, 36, 699

1. What is the GCD of 778, 540, 42, 564?

GCD of 778, 540, 42, 564 is 2

2. Where do I get the detailed procedure to find GCD of 778, 540, 42, 564?

You can find a detailed procedure to find GCD of 778, 540, 42, 564 on our page.

3. How to find GCD of 778, 540, 42, 564 on a calculator?

You can find the GCD of 778, 540, 42, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.