GCD of 778, 540, 82, 508 Calculator

Given Input numbers are 778, 540, 82, 508

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 778, 540, 82, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 540, 82, 508 is 2.

Therefore, GCD of numbers 778, 540, 82, 508 is 2

Given Input Data is 778, 540, 82, 508

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 82 is 2 x 41

Prime Factorization of 508 is 2 x 2 x 127

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 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 778, 540, 82, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 842, 38, 246
• GCD of 108, 203, 25, 939
• GCD of 575, 558, 90, 861
• GCD of 577, 862, 96, 456
• GCD of 117, 231, 22, 545

1. What is the GCD of 778, 540, 82, 508?

GCD of 778, 540, 82, 508 is 2

2. Where do I get the detailed procedure to find GCD of 778, 540, 82, 508?

You can find a detailed procedure to find GCD of 778, 540, 82, 508 on our page.

3. How to find GCD of 778, 540, 82, 508 on a calculator?

You can find the GCD of 778, 540, 82, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.