GCD of 778, 496, 72, 299 Calculator

Given Input numbers are 778, 496, 72, 299

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 778, 496, 72, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 496, 72, 299 is 1.

Therefore, GCD of numbers 778, 496, 72, 299 is 1

Given Input Data is 778, 496, 72, 299

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 299 is 13 x 23

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(778, 496) = 192944

GCD(778, 496) = ( 778 x 496 ) / 192944

GCD(778, 496) = 385888 / 192944

GCD(778, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

GCD of 778, 496, 72, 299 is 1

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• GCD of 707, 508, 82, 482
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1. What is the GCD of 778, 496, 72, 299?

GCD of 778, 496, 72, 299 is 1

2. Where do I get the detailed procedure to find GCD of 778, 496, 72, 299?

You can find a detailed procedure to find GCD of 778, 496, 72, 299 on our page.

3. How to find GCD of 778, 496, 72, 299 on a calculator?

You can find the GCD of 778, 496, 72, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.